Home / 1,432.13-1,976.34-802.67

Finding the Fourth Proportional to 1,432.13, 1,976.34 and 802.67

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Solution

The fourth proportional to 1,432.13, 1,976.34 and 802.67 is: 1,107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.13 : 1,976.34 = 802.67 : x
  2. Step 2: Convert to fraction form
    1,432.13/1,976.34 = 802.67/x
  3. Step 3: Cross multiply
    1,432.13x = 1,976.34 × 802.67
  4. Step 4: Simplify right side
    1,432.13x = 1,586,348.83
  5. Step 5: Solve for x
    x = 1,586,348.83/1,432.13
  6. Step 6: Final answer
    x = 1,107.68

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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.