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Finding the Fourth Proportional to 687.49, 1,031.23 and 584.53

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Solution

The fourth proportional to 687.49, 1,031.23 and 584.53 is: 876.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.49 : 1,031.23 = 584.53 : x
  2. Step 2: Convert to fraction form
    687.49/1,031.23 = 584.53/x
  3. Step 3: Cross multiply
    687.49x = 1,031.23 × 584.53
  4. Step 4: Simplify right side
    687.49x = 602,784.87
  5. Step 5: Solve for x
    x = 602,784.87/687.49
  6. Step 6: Final answer
    x = 876.79

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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.