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Finding the Fourth Proportional to 1,254.70, 1,731.40 and 695.13

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Solution

The fourth proportional to 1,254.70, 1,731.40 and 695.13 is: 959.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.70 : 1,731.40 = 695.13 : x
  2. Step 2: Convert to fraction form
    1,254.70/1,731.40 = 695.13/x
  3. Step 3: Cross multiply
    1,254.70x = 1,731.40 × 695.13
  4. Step 4: Simplify right side
    1,254.70x = 1,203,548.08
  5. Step 5: Solve for x
    x = 1,203,548.08/1,254.70
  6. Step 6: Final answer
    x = 959.23

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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.