Home / 1,432.10-1,976.41-802.68

Finding the Fourth Proportional to 1,432.10, 1,976.41 and 802.68

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Solution

The fourth proportional to 1,432.10, 1,976.41 and 802.68 is: 1,107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.10 : 1,976.41 = 802.68 : x
  2. Step 2: Convert to fraction form
    1,432.10/1,976.41 = 802.68/x
  3. Step 3: Cross multiply
    1,432.10x = 1,976.41 × 802.68
  4. Step 4: Simplify right side
    1,432.10x = 1,586,425.71
  5. Step 5: Solve for x
    x = 1,586,425.71/1,432.10
  6. Step 6: Final answer
    x = 1,107.76

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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.