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Finding the Fourth Proportional to 1,488.78, 2,233.42 and 551.78

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Solution

The fourth proportional to 1,488.78, 2,233.42 and 551.78 is: 827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.78 : 2,233.42 = 551.78 : x
  2. Step 2: Convert to fraction form
    1,488.78/2,233.42 = 551.78/x
  3. Step 3: Cross multiply
    1,488.78x = 2,233.42 × 551.78
  4. Step 4: Simplify right side
    1,488.78x = 1,232,356.49
  5. Step 5: Solve for x
    x = 1,232,356.49/1,488.78
  6. Step 6: Final answer
    x = 827.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.