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Finding the Fourth Proportional to 672.82, 1,009.84 and 429.54

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Solution

The fourth proportional to 672.82, 1,009.84 and 429.54 is: 644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.82 : 1,009.84 = 429.54 : x
  2. Step 2: Convert to fraction form
    672.82/1,009.84 = 429.54/x
  3. Step 3: Cross multiply
    672.82x = 1,009.84 × 429.54
  4. Step 4: Simplify right side
    672.82x = 433,766.67
  5. Step 5: Solve for x
    x = 433,766.67/672.82
  6. Step 6: Final answer
    x = 644.70

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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.