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Finding the Fourth Proportional to 1,269.92, 1,750.64 and 895.76

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Solution

The fourth proportional to 1,269.92, 1,750.64 and 895.76 is: 1,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.92 : 1,750.64 = 895.76 : x
  2. Step 2: Convert to fraction form
    1,269.92/1,750.64 = 895.76/x
  3. Step 3: Cross multiply
    1,269.92x = 1,750.64 × 895.76
  4. Step 4: Simplify right side
    1,269.92x = 1,568,153.29
  5. Step 5: Solve for x
    x = 1,568,153.29/1,269.92
  6. Step 6: Final answer
    x = 1,234.84

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1.5x scale

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.