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Finding the Fourth Proportional to 1,254.75, 1,731.54 and 695.24

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Solution

The fourth proportional to 1,254.75, 1,731.54 and 695.24 is: 959.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.75 : 1,731.54 = 695.24 : x
  2. Step 2: Convert to fraction form
    1,254.75/1,731.54 = 695.24/x
  3. Step 3: Cross multiply
    1,254.75x = 1,731.54 × 695.24
  4. Step 4: Simplify right side
    1,254.75x = 1,203,835.87
  5. Step 5: Solve for x
    x = 1,203,835.87/1,254.75
  6. Step 6: Final answer
    x = 959.42

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Double scale
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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.