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Finding the Fourth Proportional to 1,628.26, 2,440.33 and 702.74

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Solution

The fourth proportional to 1,628.26, 2,440.33 and 702.74 is: 1,053.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.26 : 2,440.33 = 702.74 : x
  2. Step 2: Convert to fraction form
    1,628.26/2,440.33 = 702.74/x
  3. Step 3: Cross multiply
    1,628.26x = 2,440.33 × 702.74
  4. Step 4: Simplify right side
    1,628.26x = 1,714,921.85
  5. Step 5: Solve for x
    x = 1,714,921.85/1,628.26
  6. Step 6: Final answer
    x = 1,053.23

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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.