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Finding the Fourth Proportional to 1,743, 2,615.18 and 588.75

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Solution

The fourth proportional to 1,743, 2,615.18 and 588.75 is: 883.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743 : 2,615.18 = 588.75 : x
  2. Step 2: Convert to fraction form
    1,743/2,615.18 = 588.75/x
  3. Step 3: Cross multiply
    1,743x = 2,615.18 × 588.75
  4. Step 4: Simplify right side
    1,743x = 1,539,684.28
  5. Step 5: Solve for x
    x = 1,539,684.28/1,743
  6. Step 6: Final answer
    x = 883.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.