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Finding the Fourth Proportional to 1,177.55, 1,765.41 and 630.19

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Solution

The fourth proportional to 1,177.55, 1,765.41 and 630.19 is: 944.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.55 : 1,765.41 = 630.19 : x
  2. Step 2: Convert to fraction form
    1,177.55/1,765.41 = 630.19/x
  3. Step 3: Cross multiply
    1,177.55x = 1,765.41 × 630.19
  4. Step 4: Simplify right side
    1,177.55x = 1,112,543.73
  5. Step 5: Solve for x
    x = 1,112,543.73/1,177.55
  6. Step 6: Final answer
    x = 944.80

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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.