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Finding the Fourth Proportional to 1,082.68, 1,484.38 and 1,063.24

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Solution

The fourth proportional to 1,082.68, 1,484.38 and 1,063.24 is: 1,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.68 : 1,484.38 = 1,063.24 : x
  2. Step 2: Convert to fraction form
    1,082.68/1,484.38 = 1,063.24/x
  3. Step 3: Cross multiply
    1,082.68x = 1,484.38 × 1,063.24
  4. Step 4: Simplify right side
    1,082.68x = 1,578,252.19
  5. Step 5: Solve for x
    x = 1,578,252.19/1,082.68
  6. Step 6: Final answer
    x = 1,457.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.