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Finding the Fourth Proportional to 592.49, 886.79 and 318.17

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Solution

The fourth proportional to 592.49, 886.79 and 318.17 is: 476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.49 : 886.79 = 318.17 : x
  2. Step 2: Convert to fraction form
    592.49/886.79 = 318.17/x
  3. Step 3: Cross multiply
    592.49x = 886.79 × 318.17
  4. Step 4: Simplify right side
    592.49x = 282,143.95
  5. Step 5: Solve for x
    x = 282,143.95/592.49
  6. Step 6: Final answer
    x = 476.20

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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.