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Finding the Fourth Proportional to 729.88, 1,007.39 and 415.17

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Solution

The fourth proportional to 729.88, 1,007.39 and 415.17 is: 573.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.88 : 1,007.39 = 415.17 : x
  2. Step 2: Convert to fraction form
    729.88/1,007.39 = 415.17/x
  3. Step 3: Cross multiply
    729.88x = 1,007.39 × 415.17
  4. Step 4: Simplify right side
    729.88x = 418,238.11
  5. Step 5: Solve for x
    x = 418,238.11/729.88
  6. Step 6: Final answer
    x = 573.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.