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Finding the Fourth Proportional to 714.80, 987.18 and 549.20

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Solution

The fourth proportional to 714.80, 987.18 and 549.20 is: 758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.80 : 987.18 = 549.20 : x
  2. Step 2: Convert to fraction form
    714.80/987.18 = 549.20/x
  3. Step 3: Cross multiply
    714.80x = 987.18 × 549.20
  4. Step 4: Simplify right side
    714.80x = 542,159.26
  5. Step 5: Solve for x
    x = 542,159.26/714.80
  6. Step 6: Final answer
    x = 758.48

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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.