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Finding the Fourth Proportional to 1,276.08, 1,760.93 and 752.14

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Solution

The fourth proportional to 1,276.08, 1,760.93 and 752.14 is: 1,037.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.08 : 1,760.93 = 752.14 : x
  2. Step 2: Convert to fraction form
    1,276.08/1,760.93 = 752.14/x
  3. Step 3: Cross multiply
    1,276.08x = 1,760.93 × 752.14
  4. Step 4: Simplify right side
    1,276.08x = 1,324,465.89
  5. Step 5: Solve for x
    x = 1,324,465.89/1,276.08
  6. Step 6: Final answer
    x = 1,037.92

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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.