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Finding the Fourth Proportional to 735.70, 1,013.42 and 560.74

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Solution

The fourth proportional to 735.70, 1,013.42 and 560.74 is: 772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.70 : 1,013.42 = 560.74 : x
  2. Step 2: Convert to fraction form
    735.70/1,013.42 = 560.74/x
  3. Step 3: Cross multiply
    735.70x = 1,013.42 × 560.74
  4. Step 4: Simplify right side
    735.70x = 568,265.13
  5. Step 5: Solve for x
    x = 568,265.13/735.70
  6. Step 6: Final answer
    x = 772.41

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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.