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Finding the Fourth Proportional to 1,743.10, 2,615.01 and 588.94

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Solution

The fourth proportional to 1,743.10, 2,615.01 and 588.94 is: 883.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.10 : 2,615.01 = 588.94 : x
  2. Step 2: Convert to fraction form
    1,743.10/2,615.01 = 588.94/x
  3. Step 3: Cross multiply
    1,743.10x = 2,615.01 × 588.94
  4. Step 4: Simplify right side
    1,743.10x = 1,540,083.99
  5. Step 5: Solve for x
    x = 1,540,083.99/1,743.10
  6. Step 6: Final answer
    x = 883.53

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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.