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Finding the Fourth Proportional to 920.39, 1,267.25 and 812.49

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Solution

The fourth proportional to 920.39, 1,267.25 and 812.49 is: 1,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.39 : 1,267.25 = 812.49 : x
  2. Step 2: Convert to fraction form
    920.39/1,267.25 = 812.49/x
  3. Step 3: Cross multiply
    920.39x = 1,267.25 × 812.49
  4. Step 4: Simplify right side
    920.39x = 1,029,623.71
  5. Step 5: Solve for x
    x = 1,029,623.71/920.39
  6. Step 6: Final answer
    x = 1,118.68

Related Problems

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Double scale
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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.