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Finding the Fourth Proportional to 1,007.96, 1,511.28 and 487.82

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Solution

The fourth proportional to 1,007.96, 1,511.28 and 487.82 is: 731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.96 : 1,511.28 = 487.82 : x
  2. Step 2: Convert to fraction form
    1,007.96/1,511.28 = 487.82/x
  3. Step 3: Cross multiply
    1,007.96x = 1,511.28 × 487.82
  4. Step 4: Simplify right side
    1,007.96x = 737,232.61
  5. Step 5: Solve for x
    x = 737,232.61/1,007.96
  6. Step 6: Final answer
    x = 731.41

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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.