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Finding the Fourth Proportional to 1,177.65, 1,766.82 and 561.37

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Solution

The fourth proportional to 1,177.65, 1,766.82 and 561.37 is: 842.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.65 : 1,766.82 = 561.37 : x
  2. Step 2: Convert to fraction form
    1,177.65/1,766.82 = 561.37/x
  3. Step 3: Cross multiply
    1,177.65x = 1,766.82 × 561.37
  4. Step 4: Simplify right side
    1,177.65x = 991,839.74
  5. Step 5: Solve for x
    x = 991,839.74/1,177.65
  6. Step 6: Final answer
    x = 842.22

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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.