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Finding the Fourth Proportional to 564.79, 847.32 and 256.73

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Solution

The fourth proportional to 564.79, 847.32 and 256.73 is: 385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.79 : 847.32 = 256.73 : x
  2. Step 2: Convert to fraction form
    564.79/847.32 = 256.73/x
  3. Step 3: Cross multiply
    564.79x = 847.32 × 256.73
  4. Step 4: Simplify right side
    564.79x = 217,531.18
  5. Step 5: Solve for x
    x = 217,531.18/564.79
  6. Step 6: Final answer
    x = 385.15

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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.