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Finding the Fourth Proportional to 592.13, 886.71 and 318.30

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Solution

The fourth proportional to 592.13, 886.71 and 318.30 is: 476.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.13 : 886.71 = 318.30 : x
  2. Step 2: Convert to fraction form
    592.13/886.71 = 318.30/x
  3. Step 3: Cross multiply
    592.13x = 886.71 × 318.30
  4. Step 4: Simplify right side
    592.13x = 282,239.79
  5. Step 5: Solve for x
    x = 282,239.79/592.13
  6. Step 6: Final answer
    x = 476.65

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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.