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Finding the Fourth Proportional to 1,545.39, 2,132.64 and 846.75

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Solution

The fourth proportional to 1,545.39, 2,132.64 and 846.75 is: 1,168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.39 : 2,132.64 = 846.75 : x
  2. Step 2: Convert to fraction form
    1,545.39/2,132.64 = 846.75/x
  3. Step 3: Cross multiply
    1,545.39x = 2,132.64 × 846.75
  4. Step 4: Simplify right side
    1,545.39x = 1,805,812.92
  5. Step 5: Solve for x
    x = 1,805,812.92/1,545.39
  6. Step 6: Final answer
    x = 1,168.52

Related Problems

Find fourth proportional to 772.70, 1,066.32 and 423.38
Half scale
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Double scale
Find fourth proportional to 1,546.39, 2,134.02 and 847.75
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.