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Finding the Fourth Proportional to 1,342.29, 2,013.21 and 611.70

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Solution

The fourth proportional to 1,342.29, 2,013.21 and 611.70 is: 917.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.29 : 2,013.21 = 611.70 : x
  2. Step 2: Convert to fraction form
    1,342.29/2,013.21 = 611.70/x
  3. Step 3: Cross multiply
    1,342.29x = 2,013.21 × 611.70
  4. Step 4: Simplify right side
    1,342.29x = 1,231,480.56
  5. Step 5: Solve for x
    x = 1,231,480.56/1,342.29
  6. Step 6: Final answer
    x = 917.45

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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.