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Finding the Fourth Proportional to 564.64, 782.47 and 557.68

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Solution

The fourth proportional to 564.64, 782.47 and 557.68 is: 772.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.64 : 782.47 = 557.68 : x
  2. Step 2: Convert to fraction form
    564.64/782.47 = 557.68/x
  3. Step 3: Cross multiply
    564.64x = 782.47 × 557.68
  4. Step 4: Simplify right side
    564.64x = 436,367.87
  5. Step 5: Solve for x
    x = 436,367.87/564.64
  6. Step 6: Final answer
    x = 772.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.