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Finding the Fourth Proportional to 1,011.17, 1,517.06 and 317.91

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Solution

The fourth proportional to 1,011.17, 1,517.06 and 317.91 is: 476.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.17 : 1,517.06 = 317.91 : x
  2. Step 2: Convert to fraction form
    1,011.17/1,517.06 = 317.91/x
  3. Step 3: Cross multiply
    1,011.17x = 1,517.06 × 317.91
  4. Step 4: Simplify right side
    1,011.17x = 482,288.54
  5. Step 5: Solve for x
    x = 482,288.54/1,011.17
  6. Step 6: Final answer
    x = 476.96

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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.