Home / 1,081.80-1,623.18-433.02

Finding the Fourth Proportional to 1,081.80, 1,623.18 and 433.02

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Solution

The fourth proportional to 1,081.80, 1,623.18 and 433.02 is: 649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.80 : 1,623.18 = 433.02 : x
  2. Step 2: Convert to fraction form
    1,081.80/1,623.18 = 433.02/x
  3. Step 3: Cross multiply
    1,081.80x = 1,623.18 × 433.02
  4. Step 4: Simplify right side
    1,081.80x = 702,869.40
  5. Step 5: Solve for x
    x = 702,869.40/1,081.80
  6. Step 6: Final answer
    x = 649.72

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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.