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Finding the Fourth Proportional to 671.11, 1,008.20 and 476.59

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Solution

The fourth proportional to 671.11, 1,008.20 and 476.59 is: 715.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.11 : 1,008.20 = 476.59 : x
  2. Step 2: Convert to fraction form
    671.11/1,008.20 = 476.59/x
  3. Step 3: Cross multiply
    671.11x = 1,008.20 × 476.59
  4. Step 4: Simplify right side
    671.11x = 480,498.04
  5. Step 5: Solve for x
    x = 480,498.04/671.11
  6. Step 6: Final answer
    x = 715.98

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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.