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Finding the Fourth Proportional to 564.18, 844.82 and 472.64

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Solution

The fourth proportional to 564.18, 844.82 and 472.64 is: 707.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.18 : 844.82 = 472.64 : x
  2. Step 2: Convert to fraction form
    564.18/844.82 = 472.64/x
  3. Step 3: Cross multiply
    564.18x = 844.82 × 472.64
  4. Step 4: Simplify right side
    564.18x = 399,295.72
  5. Step 5: Solve for x
    x = 399,295.72/564.18
  6. Step 6: Final answer
    x = 707.75

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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.