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Finding the Fourth Proportional to 1,697.23, 2,545.07 and 772.75

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Solution

The fourth proportional to 1,697.23, 2,545.07 and 772.75 is: 1,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.23 : 2,545.07 = 772.75 : x
  2. Step 2: Convert to fraction form
    1,697.23/2,545.07 = 772.75/x
  3. Step 3: Cross multiply
    1,697.23x = 2,545.07 × 772.75
  4. Step 4: Simplify right side
    1,697.23x = 1,966,702.84
  5. Step 5: Solve for x
    x = 1,966,702.84/1,697.23
  6. Step 6: Final answer
    x = 1,158.77

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.