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Finding the Fourth Proportional to 637.28, 951.46 and 564.56

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Solution

The fourth proportional to 637.28, 951.46 and 564.56 is: 842.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.28 : 951.46 = 564.56 : x
  2. Step 2: Convert to fraction form
    637.28/951.46 = 564.56/x
  3. Step 3: Cross multiply
    637.28x = 951.46 × 564.56
  4. Step 4: Simplify right side
    637.28x = 537,156.26
  5. Step 5: Solve for x
    x = 537,156.26/637.28
  6. Step 6: Final answer
    x = 842.89

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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.