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Finding the Fourth Proportional to 549.76, 759.24 and 463.12

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Solution

The fourth proportional to 549.76, 759.24 and 463.12 is: 639.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.76 : 759.24 = 463.12 : x
  2. Step 2: Convert to fraction form
    549.76/759.24 = 463.12/x
  3. Step 3: Cross multiply
    549.76x = 759.24 × 463.12
  4. Step 4: Simplify right side
    549.76x = 351,619.23
  5. Step 5: Solve for x
    x = 351,619.23/549.76
  6. Step 6: Final answer
    x = 639.59

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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.