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Finding the Fourth Proportional to 549.12, 760.80 and 511.68

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Solution

The fourth proportional to 549.12, 760.80 and 511.68 is: 708.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.12 : 760.80 = 511.68 : x
  2. Step 2: Convert to fraction form
    549.12/760.80 = 511.68/x
  3. Step 3: Cross multiply
    549.12x = 760.80 × 511.68
  4. Step 4: Simplify right side
    549.12x = 389,286.14
  5. Step 5: Solve for x
    x = 389,286.14/549.12
  6. Step 6: Final answer
    x = 708.93

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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.