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Finding the Fourth Proportional to 1,082.79, 1,613.10 and 1,030.54

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Solution

The fourth proportional to 1,082.79, 1,613.10 and 1,030.54 is: 1,535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.79 : 1,613.10 = 1,030.54 : x
  2. Step 2: Convert to fraction form
    1,082.79/1,613.10 = 1,030.54/x
  3. Step 3: Cross multiply
    1,082.79x = 1,613.10 × 1,030.54
  4. Step 4: Simplify right side
    1,082.79x = 1,662,364.07
  5. Step 5: Solve for x
    x = 1,662,364.07/1,082.79
  6. Step 6: Final answer
    x = 1,535.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.