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Finding the Fourth Proportional to 1,262.31, 1,742.08 and 731.33

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Solution

The fourth proportional to 1,262.31, 1,742.08 and 731.33 is: 1,009.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.31 : 1,742.08 = 731.33 : x
  2. Step 2: Convert to fraction form
    1,262.31/1,742.08 = 731.33/x
  3. Step 3: Cross multiply
    1,262.31x = 1,742.08 × 731.33
  4. Step 4: Simplify right side
    1,262.31x = 1,274,042.53
  5. Step 5: Solve for x
    x = 1,274,042.53/1,262.31
  6. Step 6: Final answer
    x = 1,009.30

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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.