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Finding the Fourth Proportional to 564.57, 847.53 and 538.38

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Solution

The fourth proportional to 564.57, 847.53 and 538.38 is: 808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.57 : 847.53 = 538.38 : x
  2. Step 2: Convert to fraction form
    564.57/847.53 = 538.38/x
  3. Step 3: Cross multiply
    564.57x = 847.53 × 538.38
  4. Step 4: Simplify right side
    564.57x = 456,293.20
  5. Step 5: Solve for x
    x = 456,293.20/564.57
  6. Step 6: Final answer
    x = 808.21

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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.