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Finding the Fourth Proportional to 672.88, 929.24 and 534.46

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Solution

The fourth proportional to 672.88, 929.24 and 534.46 is: 738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.88 : 929.24 = 534.46 : x
  2. Step 2: Convert to fraction form
    672.88/929.24 = 534.46/x
  3. Step 3: Cross multiply
    672.88x = 929.24 × 534.46
  4. Step 4: Simplify right side
    672.88x = 496,638.62
  5. Step 5: Solve for x
    x = 496,638.62/672.88
  6. Step 6: Final answer
    x = 738.08

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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.