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Finding the Fourth Proportional to 1,010.78, 1,514.04 and 463.42

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Solution

The fourth proportional to 1,010.78, 1,514.04 and 463.42 is: 694.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.78 : 1,514.04 = 463.42 : x
  2. Step 2: Convert to fraction form
    1,010.78/1,514.04 = 463.42/x
  3. Step 3: Cross multiply
    1,010.78x = 1,514.04 × 463.42
  4. Step 4: Simplify right side
    1,010.78x = 701,635.26
  5. Step 5: Solve for x
    x = 701,635.26/1,010.78
  6. Step 6: Final answer
    x = 694.15

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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.