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Finding the Fourth Proportional to 689.71, 1,031.97 and 459.16

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Solution

The fourth proportional to 689.71, 1,031.97 and 459.16 is: 687.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.71 : 1,031.97 = 459.16 : x
  2. Step 2: Convert to fraction form
    689.71/1,031.97 = 459.16/x
  3. Step 3: Cross multiply
    689.71x = 1,031.97 × 459.16
  4. Step 4: Simplify right side
    689.71x = 473,839.35
  5. Step 5: Solve for x
    x = 473,839.35/689.71
  6. Step 6: Final answer
    x = 687.01

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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.