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Finding the Fourth Proportional to 938.73, 1,295.40 and 545.70

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Solution

The fourth proportional to 938.73, 1,295.40 and 545.70 is: 753.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.73 : 1,295.40 = 545.70 : x
  2. Step 2: Convert to fraction form
    938.73/1,295.40 = 545.70/x
  3. Step 3: Cross multiply
    938.73x = 1,295.40 × 545.70
  4. Step 4: Simplify right side
    938.73x = 706,899.78
  5. Step 5: Solve for x
    x = 706,899.78/938.73
  6. Step 6: Final answer
    x = 753.04

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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.