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Finding the Fourth Proportional to 923.90, 1,387.20 and 560.21

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Solution

The fourth proportional to 923.90, 1,387.20 and 560.21 is: 841.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.90 : 1,387.20 = 560.21 : x
  2. Step 2: Convert to fraction form
    923.90/1,387.20 = 560.21/x
  3. Step 3: Cross multiply
    923.90x = 1,387.20 × 560.21
  4. Step 4: Simplify right side
    923.90x = 777,123.31
  5. Step 5: Solve for x
    x = 777,123.31/923.90
  6. Step 6: Final answer
    x = 841.13

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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.