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Finding the Fourth Proportional to 978.13, 1,348.41 and 698.23

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Solution

The fourth proportional to 978.13, 1,348.41 and 698.23 is: 962.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.13 : 1,348.41 = 698.23 : x
  2. Step 2: Convert to fraction form
    978.13/1,348.41 = 698.23/x
  3. Step 3: Cross multiply
    978.13x = 1,348.41 × 698.23
  4. Step 4: Simplify right side
    978.13x = 941,500.31
  5. Step 5: Solve for x
    x = 941,500.31/978.13
  6. Step 6: Final answer
    x = 962.55

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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.