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Finding the Fourth Proportional to 1,774.80, 2,449.20 and 978.11

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Solution

The fourth proportional to 1,774.80, 2,449.20 and 978.11 is: 1,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.80 : 2,449.20 = 978.11 : x
  2. Step 2: Convert to fraction form
    1,774.80/2,449.20 = 978.11/x
  3. Step 3: Cross multiply
    1,774.80x = 2,449.20 × 978.11
  4. Step 4: Simplify right side
    1,774.80x = 2,395,587.01
  5. Step 5: Solve for x
    x = 2,395,587.01/1,774.80
  6. Step 6: Final answer
    x = 1,349.78

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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.