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Finding the Fourth Proportional to 564.27, 842.60 and 560.85

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Solution

The fourth proportional to 564.27, 842.60 and 560.85 is: 837.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.27 : 842.60 = 560.85 : x
  2. Step 2: Convert to fraction form
    564.27/842.60 = 560.85/x
  3. Step 3: Cross multiply
    564.27x = 842.60 × 560.85
  4. Step 4: Simplify right side
    564.27x = 472,572.21
  5. Step 5: Solve for x
    x = 472,572.21/564.27
  6. Step 6: Final answer
    x = 837.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.