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Finding the Fourth Proportional to 564.31, 845.01 and 472.78

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Solution

The fourth proportional to 564.31, 845.01 and 472.78 is: 707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.31 : 845.01 = 472.78 : x
  2. Step 2: Convert to fraction form
    564.31/845.01 = 472.78/x
  3. Step 3: Cross multiply
    564.31x = 845.01 × 472.78
  4. Step 4: Simplify right side
    564.31x = 399,503.83
  5. Step 5: Solve for x
    x = 399,503.83/564.31
  6. Step 6: Final answer
    x = 707.95

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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.