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Finding the Fourth Proportional to 549.25, 757.89 and 313.13

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Solution

The fourth proportional to 549.25, 757.89 and 313.13 is: 432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.25 : 757.89 = 313.13 : x
  2. Step 2: Convert to fraction form
    549.25/757.89 = 313.13/x
  3. Step 3: Cross multiply
    549.25x = 757.89 × 313.13
  4. Step 4: Simplify right side
    549.25x = 237,319.99
  5. Step 5: Solve for x
    x = 237,319.99/549.25
  6. Step 6: Final answer
    x = 432.08

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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.