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Finding the Fourth Proportional to 1,182.90, 1,776.08 and 978.77

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Solution

The fourth proportional to 1,182.90, 1,776.08 and 978.77 is: 1,469.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.90 : 1,776.08 = 978.77 : x
  2. Step 2: Convert to fraction form
    1,182.90/1,776.08 = 978.77/x
  3. Step 3: Cross multiply
    1,182.90x = 1,776.08 × 978.77
  4. Step 4: Simplify right side
    1,182.90x = 1,738,373.28
  5. Step 5: Solve for x
    x = 1,738,373.28/1,182.90
  6. Step 6: Final answer
    x = 1,469.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.