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Finding the Fourth Proportional to 564.43, 847.25 and 499.83

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Solution

The fourth proportional to 564.43, 847.25 and 499.83 is: 750.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.43 : 847.25 = 499.83 : x
  2. Step 2: Convert to fraction form
    564.43/847.25 = 499.83/x
  3. Step 3: Cross multiply
    564.43x = 847.25 × 499.83
  4. Step 4: Simplify right side
    564.43x = 423,480.97
  5. Step 5: Solve for x
    x = 423,480.97/564.43
  6. Step 6: Final answer
    x = 750.28

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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.