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Finding the Fourth Proportional to 978.85, 1,348.14 and 908.38

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Solution

The fourth proportional to 978.85, 1,348.14 and 908.38 is: 1,251.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.85 : 1,348.14 = 908.38 : x
  2. Step 2: Convert to fraction form
    978.85/1,348.14 = 908.38/x
  3. Step 3: Cross multiply
    978.85x = 1,348.14 × 908.38
  4. Step 4: Simplify right side
    978.85x = 1,224,623.41
  5. Step 5: Solve for x
    x = 1,224,623.41/978.85
  6. Step 6: Final answer
    x = 1,251.08

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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.