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Finding the Fourth Proportional to 658, 908.12 and 382

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Solution

The fourth proportional to 658, 908.12 and 382 is: 527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    658 : 908.12 = 382 : x
  2. Step 2: Convert to fraction form
    658/908.12 = 382/x
  3. Step 3: Cross multiply
    658x = 908.12 × 382
  4. Step 4: Simplify right side
    658x = 346,901.84
  5. Step 5: Solve for x
    x = 346,901.84/658
  6. Step 6: Final answer
    x = 527.21

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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.