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Finding the Fourth Proportional to 1,262.41, 1,741.91 and 731.16

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Solution

The fourth proportional to 1,262.41, 1,741.91 and 731.16 is: 1,008.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.41 : 1,741.91 = 731.16 : x
  2. Step 2: Convert to fraction form
    1,262.41/1,741.91 = 731.16/x
  3. Step 3: Cross multiply
    1,262.41x = 1,741.91 × 731.16
  4. Step 4: Simplify right side
    1,262.41x = 1,273,611.26
  5. Step 5: Solve for x
    x = 1,273,611.26/1,262.41
  6. Step 6: Final answer
    x = 1,008.87

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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.