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Finding the Fourth Proportional to 1,742.78, 2,614.56 and 588.50

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Solution

The fourth proportional to 1,742.78, 2,614.56 and 588.50 is: 882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.78 : 2,614.56 = 588.50 : x
  2. Step 2: Convert to fraction form
    1,742.78/2,614.56 = 588.50/x
  3. Step 3: Cross multiply
    1,742.78x = 2,614.56 × 588.50
  4. Step 4: Simplify right side
    1,742.78x = 1,538,668.56
  5. Step 5: Solve for x
    x = 1,538,668.56/1,742.78
  6. Step 6: Final answer
    x = 882.88

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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.