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Finding the Fourth Proportional to 549.68, 821.28 and 410.32

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Solution

The fourth proportional to 549.68, 821.28 and 410.32 is: 613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.68 : 821.28 = 410.32 : x
  2. Step 2: Convert to fraction form
    549.68/821.28 = 410.32/x
  3. Step 3: Cross multiply
    549.68x = 821.28 × 410.32
  4. Step 4: Simplify right side
    549.68x = 336,987.61
  5. Step 5: Solve for x
    x = 336,987.61/549.68
  6. Step 6: Final answer
    x = 613.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.