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Finding the Fourth Proportional to 689.55, 1,031.75 and 410.89

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Solution

The fourth proportional to 689.55, 1,031.75 and 410.89 is: 614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.55 : 1,031.75 = 410.89 : x
  2. Step 2: Convert to fraction form
    689.55/1,031.75 = 410.89/x
  3. Step 3: Cross multiply
    689.55x = 1,031.75 × 410.89
  4. Step 4: Simplify right side
    689.55x = 423,934.60
  5. Step 5: Solve for x
    x = 423,934.60/689.55
  6. Step 6: Final answer
    x = 614.80

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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.