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Finding the Fourth Proportional to 1,265.80, 1,895.80 and 751.72

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Solution

The fourth proportional to 1,265.80, 1,895.80 and 751.72 is: 1,125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.80 : 1,895.80 = 751.72 : x
  2. Step 2: Convert to fraction form
    1,265.80/1,895.80 = 751.72/x
  3. Step 3: Cross multiply
    1,265.80x = 1,895.80 × 751.72
  4. Step 4: Simplify right side
    1,265.80x = 1,425,110.78
  5. Step 5: Solve for x
    x = 1,425,110.78/1,265.80
  6. Step 6: Final answer
    x = 1,125.86

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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.