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Finding the Fourth Proportional to 1,223.95, 1,832.82 and 980.95

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Solution

The fourth proportional to 1,223.95, 1,832.82 and 980.95 is: 1,468.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.95 : 1,832.82 = 980.95 : x
  2. Step 2: Convert to fraction form
    1,223.95/1,832.82 = 980.95/x
  3. Step 3: Cross multiply
    1,223.95x = 1,832.82 × 980.95
  4. Step 4: Simplify right side
    1,223.95x = 1,797,904.78
  5. Step 5: Solve for x
    x = 1,797,904.78/1,223.95
  6. Step 6: Final answer
    x = 1,468.94

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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.