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Finding the Fourth Proportional to 602.49, 831.09 and 454.87

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Solution

The fourth proportional to 602.49, 831.09 and 454.87 is: 627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.49 : 831.09 = 454.87 : x
  2. Step 2: Convert to fraction form
    602.49/831.09 = 454.87/x
  3. Step 3: Cross multiply
    602.49x = 831.09 × 454.87
  4. Step 4: Simplify right side
    602.49x = 378,037.91
  5. Step 5: Solve for x
    x = 378,037.91/602.49
  6. Step 6: Final answer
    x = 627.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.