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Finding the Fourth Proportional to 824.88, 1,237.62 and 429.31

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Solution

The fourth proportional to 824.88, 1,237.62 and 429.31 is: 644.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.88 : 1,237.62 = 429.31 : x
  2. Step 2: Convert to fraction form
    824.88/1,237.62 = 429.31/x
  3. Step 3: Cross multiply
    824.88x = 1,237.62 × 429.31
  4. Step 4: Simplify right side
    824.88x = 531,325.80
  5. Step 5: Solve for x
    x = 531,325.80/824.88
  6. Step 6: Final answer
    x = 644.12

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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.