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Finding the Fourth Proportional to 672.46, 1,009.12 and 429.16

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Solution

The fourth proportional to 672.46, 1,009.12 and 429.16 is: 644.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.46 : 1,009.12 = 429.16 : x
  2. Step 2: Convert to fraction form
    672.46/1,009.12 = 429.16/x
  3. Step 3: Cross multiply
    672.46x = 1,009.12 × 429.16
  4. Step 4: Simplify right side
    672.46x = 433,073.94
  5. Step 5: Solve for x
    x = 433,073.94/672.46
  6. Step 6: Final answer
    x = 644.01

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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.