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Finding the Fourth Proportional to 1,082.65, 1,620.83 and 899.19

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Solution

The fourth proportional to 1,082.65, 1,620.83 and 899.19 is: 1,346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.65 : 1,620.83 = 899.19 : x
  2. Step 2: Convert to fraction form
    1,082.65/1,620.83 = 899.19/x
  3. Step 3: Cross multiply
    1,082.65x = 1,620.83 × 899.19
  4. Step 4: Simplify right side
    1,082.65x = 1,457,434.13
  5. Step 5: Solve for x
    x = 1,457,434.13/1,082.65
  6. Step 6: Final answer
    x = 1,346.17

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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.