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Finding the Fourth Proportional to 672.98, 1,010.12 and 429.66

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Solution

The fourth proportional to 672.98, 1,010.12 and 429.66 is: 644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.98 : 1,010.12 = 429.66 : x
  2. Step 2: Convert to fraction form
    672.98/1,010.12 = 429.66/x
  3. Step 3: Cross multiply
    672.98x = 1,010.12 × 429.66
  4. Step 4: Simplify right side
    672.98x = 434,006.01
  5. Step 5: Solve for x
    x = 434,006.01/672.98
  6. Step 6: Final answer
    x = 644.91

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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.