Home / 1,082.14-1,623.08-432.88

Finding the Fourth Proportional to 1,082.14, 1,623.08 and 432.88

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Solution

The fourth proportional to 1,082.14, 1,623.08 and 432.88 is: 649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.14 : 1,623.08 = 432.88 : x
  2. Step 2: Convert to fraction form
    1,082.14/1,623.08 = 432.88/x
  3. Step 3: Cross multiply
    1,082.14x = 1,623.08 × 432.88
  4. Step 4: Simplify right side
    1,082.14x = 702,596.71
  5. Step 5: Solve for x
    x = 702,596.71/1,082.14
  6. Step 6: Final answer
    x = 649.27

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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.