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Finding the Fourth Proportional to 1,011.64, 1,517.34 and 318.28

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Solution

The fourth proportional to 1,011.64, 1,517.34 and 318.28 is: 477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.64 : 1,517.34 = 318.28 : x
  2. Step 2: Convert to fraction form
    1,011.64/1,517.34 = 318.28/x
  3. Step 3: Cross multiply
    1,011.64x = 1,517.34 × 318.28
  4. Step 4: Simplify right side
    1,011.64x = 482,938.98
  5. Step 5: Solve for x
    x = 482,938.98/1,011.64
  6. Step 6: Final answer
    x = 477.38

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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.