Home / 1,432.32-1,976.62-802.84

Finding the Fourth Proportional to 1,432.32, 1,976.62 and 802.84

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Solution

The fourth proportional to 1,432.32, 1,976.62 and 802.84 is: 1,107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.32 : 1,976.62 = 802.84 : x
  2. Step 2: Convert to fraction form
    1,432.32/1,976.62 = 802.84/x
  3. Step 3: Cross multiply
    1,432.32x = 1,976.62 × 802.84
  4. Step 4: Simplify right side
    1,432.32x = 1,586,909.60
  5. Step 5: Solve for x
    x = 1,586,909.60/1,432.32
  6. Step 6: Final answer
    x = 1,107.93

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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.