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Finding the Fourth Proportional to 1,082.68, 1,632.19 and 1,048.66

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Solution

The fourth proportional to 1,082.68, 1,632.19 and 1,048.66 is: 1,580.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.68 : 1,632.19 = 1,048.66 : x
  2. Step 2: Convert to fraction form
    1,082.68/1,632.19 = 1,048.66/x
  3. Step 3: Cross multiply
    1,082.68x = 1,632.19 × 1,048.66
  4. Step 4: Simplify right side
    1,082.68x = 1,711,612.37
  5. Step 5: Solve for x
    x = 1,711,612.37/1,082.68
  6. Step 6: Final answer
    x = 1,580.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.