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Finding the Fourth Proportional to 865.97, 1,298.95 and 317.91

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Solution

The fourth proportional to 865.97, 1,298.95 and 317.91 is: 476.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.97 : 1,298.95 = 317.91 : x
  2. Step 2: Convert to fraction form
    865.97/1,298.95 = 317.91/x
  3. Step 3: Cross multiply
    865.97x = 1,298.95 × 317.91
  4. Step 4: Simplify right side
    865.97x = 412,948.40
  5. Step 5: Solve for x
    x = 412,948.40/865.97
  6. Step 6: Final answer
    x = 476.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.