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Finding the Fourth Proportional to 978.94, 1,348.14 and 781.84

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Solution

The fourth proportional to 978.94, 1,348.14 and 781.84 is: 1,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.94 : 1,348.14 = 781.84 : x
  2. Step 2: Convert to fraction form
    978.94/1,348.14 = 781.84/x
  3. Step 3: Cross multiply
    978.94x = 1,348.14 × 781.84
  4. Step 4: Simplify right side
    978.94x = 1,054,029.78
  5. Step 5: Solve for x
    x = 1,054,029.78/978.94
  6. Step 6: Final answer
    x = 1,076.71

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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.