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Finding the Fourth Proportional to 549.75, 823.51 and 458.15

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Solution

The fourth proportional to 549.75, 823.51 and 458.15 is: 686.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.75 : 823.51 = 458.15 : x
  2. Step 2: Convert to fraction form
    549.75/823.51 = 458.15/x
  3. Step 3: Cross multiply
    549.75x = 823.51 × 458.15
  4. Step 4: Simplify right side
    549.75x = 377,292.02
  5. Step 5: Solve for x
    x = 377,292.02/549.75
  6. Step 6: Final answer
    x = 686.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.