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Finding the Fourth Proportional to 689.32, 1,032.90 and 415.09

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Solution

The fourth proportional to 689.32, 1,032.90 and 415.09 is: 621.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.32 : 1,032.90 = 415.09 : x
  2. Step 2: Convert to fraction form
    689.32/1,032.90 = 415.09/x
  3. Step 3: Cross multiply
    689.32x = 1,032.90 × 415.09
  4. Step 4: Simplify right side
    689.32x = 428,746.46
  5. Step 5: Solve for x
    x = 428,746.46/689.32
  6. Step 6: Final answer
    x = 621.98

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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.