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Finding the Fourth Proportional to 549.40, 822.28 and 458.28

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Solution

The fourth proportional to 549.40, 822.28 and 458.28 is: 685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.40 : 822.28 = 458.28 : x
  2. Step 2: Convert to fraction form
    549.40/822.28 = 458.28/x
  3. Step 3: Cross multiply
    549.40x = 822.28 × 458.28
  4. Step 4: Simplify right side
    549.40x = 376,834.48
  5. Step 5: Solve for x
    x = 376,834.48/549.40
  6. Step 6: Final answer
    x = 685.90

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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.