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Finding the Fourth Proportional to 714.82, 987.01 and 548.77

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Solution

The fourth proportional to 714.82, 987.01 and 548.77 is: 757.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.82 : 987.01 = 548.77 : x
  2. Step 2: Convert to fraction form
    714.82/987.01 = 548.77/x
  3. Step 3: Cross multiply
    714.82x = 987.01 × 548.77
  4. Step 4: Simplify right side
    714.82x = 541,641.48
  5. Step 5: Solve for x
    x = 541,641.48/714.82
  6. Step 6: Final answer
    x = 757.73

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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.