Home / 1,082.28-1,623.29-433.47

Finding the Fourth Proportional to 1,082.28, 1,623.29 and 433.47

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Solution

The fourth proportional to 1,082.28, 1,623.29 and 433.47 is: 650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.28 : 1,623.29 = 433.47 : x
  2. Step 2: Convert to fraction form
    1,082.28/1,623.29 = 433.47/x
  3. Step 3: Cross multiply
    1,082.28x = 1,623.29 × 433.47
  4. Step 4: Simplify right side
    1,082.28x = 703,645.35
  5. Step 5: Solve for x
    x = 703,645.35/1,082.28
  6. Step 6: Final answer
    x = 650.15

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1.5x scale

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.