Home / 1,432.25-1,976.43-802.85

Finding the Fourth Proportional to 1,432.25, 1,976.43 and 802.85

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Solution

The fourth proportional to 1,432.25, 1,976.43 and 802.85 is: 1,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.25 : 1,976.43 = 802.85 : x
  2. Step 2: Convert to fraction form
    1,432.25/1,976.43 = 802.85/x
  3. Step 3: Cross multiply
    1,432.25x = 1,976.43 × 802.85
  4. Step 4: Simplify right side
    1,432.25x = 1,586,769.95
  5. Step 5: Solve for x
    x = 1,586,769.95/1,432.25
  6. Step 6: Final answer
    x = 1,107.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.