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Finding the Fourth Proportional to 430.76, 591.29 and 391.88

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Solution

The fourth proportional to 430.76, 591.29 and 391.88 is: 537.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.76 : 591.29 = 391.88 : x
  2. Step 2: Convert to fraction form
    430.76/591.29 = 391.88/x
  3. Step 3: Cross multiply
    430.76x = 591.29 × 391.88
  4. Step 4: Simplify right side
    430.76x = 231,714.73
  5. Step 5: Solve for x
    x = 231,714.73/430.76
  6. Step 6: Final answer
    x = 537.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.