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Finding the Fourth Proportional to 549.52, 757.92 and 383.68

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Solution

The fourth proportional to 549.52, 757.92 and 383.68 is: 529.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.52 : 757.92 = 383.68 : x
  2. Step 2: Convert to fraction form
    549.52/757.92 = 383.68/x
  3. Step 3: Cross multiply
    549.52x = 757.92 × 383.68
  4. Step 4: Simplify right side
    549.52x = 290,798.75
  5. Step 5: Solve for x
    x = 290,798.75/549.52
  6. Step 6: Final answer
    x = 529.19

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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.