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Finding the Fourth Proportional to 978.18, 1,349.38 and 791.88

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Solution

The fourth proportional to 978.18, 1,349.38 and 791.88 is: 1,092.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.18 : 1,349.38 = 791.88 : x
  2. Step 2: Convert to fraction form
    978.18/1,349.38 = 791.88/x
  3. Step 3: Cross multiply
    978.18x = 1,349.38 × 791.88
  4. Step 4: Simplify right side
    978.18x = 1,068,547.03
  5. Step 5: Solve for x
    x = 1,068,547.03/978.18
  6. Step 6: Final answer
    x = 1,092.38

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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.