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Finding the Fourth Proportional to 564.46, 842.60 and 487.92

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Solution

The fourth proportional to 564.46, 842.60 and 487.92 is: 728.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.46 : 842.60 = 487.92 : x
  2. Step 2: Convert to fraction form
    564.46/842.60 = 487.92/x
  3. Step 3: Cross multiply
    564.46x = 842.60 × 487.92
  4. Step 4: Simplify right side
    564.46x = 411,117.18
  5. Step 5: Solve for x
    x = 411,117.18/564.46
  6. Step 6: Final answer
    x = 728.34

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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.