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Finding the Fourth Proportional to 1,082.70, 1,624.19 and 389.39

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Solution

The fourth proportional to 1,082.70, 1,624.19 and 389.39 is: 584.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.70 : 1,624.19 = 389.39 : x
  2. Step 2: Convert to fraction form
    1,082.70/1,624.19 = 389.39/x
  3. Step 3: Cross multiply
    1,082.70x = 1,624.19 × 389.39
  4. Step 4: Simplify right side
    1,082.70x = 632,433.28
  5. Step 5: Solve for x
    x = 632,433.28/1,082.70
  6. Step 6: Final answer
    x = 584.13

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Double scale
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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.