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Finding the Fourth Proportional to 1,098, 1,514.43 and 678.15

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Solution

The fourth proportional to 1,098, 1,514.43 and 678.15 is: 935.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098 : 1,514.43 = 678.15 : x
  2. Step 2: Convert to fraction form
    1,098/1,514.43 = 678.15/x
  3. Step 3: Cross multiply
    1,098x = 1,514.43 × 678.15
  4. Step 4: Simplify right side
    1,098x = 1,027,010.70
  5. Step 5: Solve for x
    x = 1,027,010.70/1,098
  6. Step 6: Final answer
    x = 935.35

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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.