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Finding the Fourth Proportional to 590.52, 815.14 and 393.96

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Solution

The fourth proportional to 590.52, 815.14 and 393.96 is: 543.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.52 : 815.14 = 393.96 : x
  2. Step 2: Convert to fraction form
    590.52/815.14 = 393.96/x
  3. Step 3: Cross multiply
    590.52x = 815.14 × 393.96
  4. Step 4: Simplify right side
    590.52x = 321,132.55
  5. Step 5: Solve for x
    x = 321,132.55/590.52
  6. Step 6: Final answer
    x = 543.81

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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.