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Finding the Fourth Proportional to 1,177.50, 1,623.36 and 757.15

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Solution

The fourth proportional to 1,177.50, 1,623.36 and 757.15 is: 1,043.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.50 : 1,623.36 = 757.15 : x
  2. Step 2: Convert to fraction form
    1,177.50/1,623.36 = 757.15/x
  3. Step 3: Cross multiply
    1,177.50x = 1,623.36 × 757.15
  4. Step 4: Simplify right side
    1,177.50x = 1,229,121.55
  5. Step 5: Solve for x
    x = 1,229,121.55/1,177.50
  6. Step 6: Final answer
    x = 1,043.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.