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Finding the Fourth Proportional to 538.62, 808.34 and 431.70

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Solution

The fourth proportional to 538.62, 808.34 and 431.70 is: 647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.62 : 808.34 = 431.70 : x
  2. Step 2: Convert to fraction form
    538.62/808.34 = 431.70/x
  3. Step 3: Cross multiply
    538.62x = 808.34 × 431.70
  4. Step 4: Simplify right side
    538.62x = 348,964.49
  5. Step 5: Solve for x
    x = 348,964.49/538.62
  6. Step 6: Final answer
    x = 647.88

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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.