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Finding the Fourth Proportional to 1,018.97, 1,532.15 and 938.78

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Solution

The fourth proportional to 1,018.97, 1,532.15 and 938.78 is: 1,411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.97 : 1,532.15 = 938.78 : x
  2. Step 2: Convert to fraction form
    1,018.97/1,532.15 = 938.78/x
  3. Step 3: Cross multiply
    1,018.97x = 1,532.15 × 938.78
  4. Step 4: Simplify right side
    1,018.97x = 1,438,347.08
  5. Step 5: Solve for x
    x = 1,438,347.08/1,018.97
  6. Step 6: Final answer
    x = 1,411.57

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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.