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Finding the Fourth Proportional to 688.30, 1,032.24 and 429.88

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Solution

The fourth proportional to 688.30, 1,032.24 and 429.88 is: 644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.30 : 1,032.24 = 429.88 : x
  2. Step 2: Convert to fraction form
    688.30/1,032.24 = 429.88/x
  3. Step 3: Cross multiply
    688.30x = 1,032.24 × 429.88
  4. Step 4: Simplify right side
    688.30x = 443,739.33
  5. Step 5: Solve for x
    x = 443,739.33/688.30
  6. Step 6: Final answer
    x = 644.69

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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.