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Finding the Fourth Proportional to 1,098.45, 1,514.79 and 783.78

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Solution

The fourth proportional to 1,098.45, 1,514.79 and 783.78 is: 1,080.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.45 : 1,514.79 = 783.78 : x
  2. Step 2: Convert to fraction form
    1,098.45/1,514.79 = 783.78/x
  3. Step 3: Cross multiply
    1,098.45x = 1,514.79 × 783.78
  4. Step 4: Simplify right side
    1,098.45x = 1,187,262.11
  5. Step 5: Solve for x
    x = 1,187,262.11/1,098.45
  6. Step 6: Final answer
    x = 1,080.85

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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.