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Finding the Fourth Proportional to 672.42, 1,009.02 and 429.02

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Solution

The fourth proportional to 672.42, 1,009.02 and 429.02 is: 643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.42 : 1,009.02 = 429.02 : x
  2. Step 2: Convert to fraction form
    672.42/1,009.02 = 429.02/x
  3. Step 3: Cross multiply
    672.42x = 1,009.02 × 429.02
  4. Step 4: Simplify right side
    672.42x = 432,889.76
  5. Step 5: Solve for x
    x = 432,889.76/672.42
  6. Step 6: Final answer
    x = 643.78

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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.