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Finding the Fourth Proportional to 549.96, 758.88 and 317.13

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Solution

The fourth proportional to 549.96, 758.88 and 317.13 is: 437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.96 : 758.88 = 317.13 : x
  2. Step 2: Convert to fraction form
    549.96/758.88 = 317.13/x
  3. Step 3: Cross multiply
    549.96x = 758.88 × 317.13
  4. Step 4: Simplify right side
    549.96x = 240,663.61
  5. Step 5: Solve for x
    x = 240,663.61/549.96
  6. Step 6: Final answer
    x = 437.60

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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.