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Finding the Fourth Proportional to 937.57, 1,402.83 and 560.93

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Solution

The fourth proportional to 937.57, 1,402.83 and 560.93 is: 839.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.57 : 1,402.83 = 560.93 : x
  2. Step 2: Convert to fraction form
    937.57/1,402.83 = 560.93/x
  3. Step 3: Cross multiply
    937.57x = 1,402.83 × 560.93
  4. Step 4: Simplify right side
    937.57x = 786,890.84
  5. Step 5: Solve for x
    x = 786,890.84/937.57
  6. Step 6: Final answer
    x = 839.28

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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.