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Finding the Fourth Proportional to 564.76, 847.14 and 317.92

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Solution

The fourth proportional to 564.76, 847.14 and 317.92 is: 476.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.76 : 847.14 = 317.92 : x
  2. Step 2: Convert to fraction form
    564.76/847.14 = 317.92/x
  3. Step 3: Cross multiply
    564.76x = 847.14 × 317.92
  4. Step 4: Simplify right side
    564.76x = 269,322.75
  5. Step 5: Solve for x
    x = 269,322.75/564.76
  6. Step 6: Final answer
    x = 476.88

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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.