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Finding the Fourth Proportional to 1,254.68, 1,731.38 and 695.12

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Solution

The fourth proportional to 1,254.68, 1,731.38 and 695.12 is: 959.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.68 : 1,731.38 = 695.12 : x
  2. Step 2: Convert to fraction form
    1,254.68/1,731.38 = 695.12/x
  3. Step 3: Cross multiply
    1,254.68x = 1,731.38 × 695.12
  4. Step 4: Simplify right side
    1,254.68x = 1,203,516.87
  5. Step 5: Solve for x
    x = 1,203,516.87/1,254.68
  6. Step 6: Final answer
    x = 959.22

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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.