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Finding the Fourth Proportional to 549.48, 757.48 and 383.44

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Solution

The fourth proportional to 549.48, 757.48 and 383.44 is: 528.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.48 : 757.48 = 383.44 : x
  2. Step 2: Convert to fraction form
    549.48/757.48 = 383.44/x
  3. Step 3: Cross multiply
    549.48x = 757.48 × 383.44
  4. Step 4: Simplify right side
    549.48x = 290,448.13
  5. Step 5: Solve for x
    x = 290,448.13/549.48
  6. Step 6: Final answer
    x = 528.59

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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.