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Finding the Fourth Proportional to 1,241.51, 1,713.30 and 717.53

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Solution

The fourth proportional to 1,241.51, 1,713.30 and 717.53 is: 990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.51 : 1,713.30 = 717.53 : x
  2. Step 2: Convert to fraction form
    1,241.51/1,713.30 = 717.53/x
  3. Step 3: Cross multiply
    1,241.51x = 1,713.30 × 717.53
  4. Step 4: Simplify right side
    1,241.51x = 1,229,344.15
  5. Step 5: Solve for x
    x = 1,229,344.15/1,241.51
  6. Step 6: Final answer
    x = 990.20

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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.