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Finding the Fourth Proportional to 551.72, 821.88 and 542.54

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Solution

The fourth proportional to 551.72, 821.88 and 542.54 is: 808.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.72 : 821.88 = 542.54 : x
  2. Step 2: Convert to fraction form
    551.72/821.88 = 542.54/x
  3. Step 3: Cross multiply
    551.72x = 821.88 × 542.54
  4. Step 4: Simplify right side
    551.72x = 445,902.78
  5. Step 5: Solve for x
    x = 445,902.78/551.72
  6. Step 6: Final answer
    x = 808.20

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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.