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Finding the Fourth Proportional to 1,098.48, 1,514.76 and 941.64

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Solution

The fourth proportional to 1,098.48, 1,514.76 and 941.64 is: 1,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.48 : 1,514.76 = 941.64 : x
  2. Step 2: Convert to fraction form
    1,098.48/1,514.76 = 941.64/x
  3. Step 3: Cross multiply
    1,098.48x = 1,514.76 × 941.64
  4. Step 4: Simplify right side
    1,098.48x = 1,426,358.61
  5. Step 5: Solve for x
    x = 1,426,358.61/1,098.48
  6. Step 6: Final answer
    x = 1,298.48

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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.