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Finding the Fourth Proportional to 443.64, 615.36 and 431.76

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Solution

The fourth proportional to 443.64, 615.36 and 431.76 is: 598.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.64 : 615.36 = 431.76 : x
  2. Step 2: Convert to fraction form
    443.64/615.36 = 431.76/x
  3. Step 3: Cross multiply
    443.64x = 615.36 × 431.76
  4. Step 4: Simplify right side
    443.64x = 265,687.83
  5. Step 5: Solve for x
    x = 265,687.83/443.64
  6. Step 6: Final answer
    x = 598.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.