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Finding the Fourth Proportional to 687.64, 1,031.82 and 456.63

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Solution

The fourth proportional to 687.64, 1,031.82 and 456.63 is: 685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.64 : 1,031.82 = 456.63 : x
  2. Step 2: Convert to fraction form
    687.64/1,031.82 = 456.63/x
  3. Step 3: Cross multiply
    687.64x = 1,031.82 × 456.63
  4. Step 4: Simplify right side
    687.64x = 471,164.21
  5. Step 5: Solve for x
    x = 471,164.21/687.64
  6. Step 6: Final answer
    x = 685.20

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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.