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Finding the Fourth Proportional to 1,098.60, 1,514.49 and 783.32

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Solution

The fourth proportional to 1,098.60, 1,514.49 and 783.32 is: 1,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.60 : 1,514.49 = 783.32 : x
  2. Step 2: Convert to fraction form
    1,098.60/1,514.49 = 783.32/x
  3. Step 3: Cross multiply
    1,098.60x = 1,514.49 × 783.32
  4. Step 4: Simplify right side
    1,098.60x = 1,186,330.63
  5. Step 5: Solve for x
    x = 1,186,330.63/1,098.60
  6. Step 6: Final answer
    x = 1,079.85

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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.