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Finding the Fourth Proportional to 882.70, 1,218.54 and 551.61

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Solution

The fourth proportional to 882.70, 1,218.54 and 551.61 is: 761.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.70 : 1,218.54 = 551.61 : x
  2. Step 2: Convert to fraction form
    882.70/1,218.54 = 551.61/x
  3. Step 3: Cross multiply
    882.70x = 1,218.54 × 551.61
  4. Step 4: Simplify right side
    882.70x = 672,158.85
  5. Step 5: Solve for x
    x = 672,158.85/882.70
  6. Step 6: Final answer
    x = 761.48

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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.