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Finding the Fourth Proportional to 1,352.10, 2,027.88 and 702.48

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Solution

The fourth proportional to 1,352.10, 2,027.88 and 702.48 is: 1,053.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.10 : 2,027.88 = 702.48 : x
  2. Step 2: Convert to fraction form
    1,352.10/2,027.88 = 702.48/x
  3. Step 3: Cross multiply
    1,352.10x = 2,027.88 × 702.48
  4. Step 4: Simplify right side
    1,352.10x = 1,424,545.14
  5. Step 5: Solve for x
    x = 1,424,545.14/1,352.10
  6. Step 6: Final answer
    x = 1,053.58

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