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Finding the Fourth Proportional to 1,433.52, 2,150.76 and 702.96

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Solution

The fourth proportional to 1,433.52, 2,150.76 and 702.96 is: 1,054.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.52 : 2,150.76 = 702.96 : x
  2. Step 2: Convert to fraction form
    1,433.52/2,150.76 = 702.96/x
  3. Step 3: Cross multiply
    1,433.52x = 2,150.76 × 702.96
  4. Step 4: Simplify right side
    1,433.52x = 1,511,898.25
  5. Step 5: Solve for x
    x = 1,511,898.25/1,433.52
  6. Step 6: Final answer
    x = 1,054.68

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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.