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Finding the Fourth Proportional to 689.33, 1,032.55 and 429.46

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Solution

The fourth proportional to 689.33, 1,032.55 and 429.46 is: 643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.33 : 1,032.55 = 429.46 : x
  2. Step 2: Convert to fraction form
    689.33/1,032.55 = 429.46/x
  3. Step 3: Cross multiply
    689.33x = 1,032.55 × 429.46
  4. Step 4: Simplify right side
    689.33x = 443,435.27
  5. Step 5: Solve for x
    x = 443,435.27/689.33
  6. Step 6: Final answer
    x = 643.28

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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.