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Finding the Fourth Proportional to 1,180.98, 1,771.50 and 400.95

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Solution

The fourth proportional to 1,180.98, 1,771.50 and 400.95 is: 601.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.98 : 1,771.50 = 400.95 : x
  2. Step 2: Convert to fraction form
    1,180.98/1,771.50 = 400.95/x
  3. Step 3: Cross multiply
    1,180.98x = 1,771.50 × 400.95
  4. Step 4: Simplify right side
    1,180.98x = 710,282.93
  5. Step 5: Solve for x
    x = 710,282.93/1,180.98
  6. Step 6: Final answer
    x = 601.44

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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.