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Finding the Fourth Proportional to 560.92, 778.21 and 538.36

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Solution

The fourth proportional to 560.92, 778.21 and 538.36 is: 746.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.92 : 778.21 = 538.36 : x
  2. Step 2: Convert to fraction form
    560.92/778.21 = 538.36/x
  3. Step 3: Cross multiply
    560.92x = 778.21 × 538.36
  4. Step 4: Simplify right side
    560.92x = 418,957.14
  5. Step 5: Solve for x
    x = 418,957.14/560.92
  6. Step 6: Final answer
    x = 746.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.