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Finding the Fourth Proportional to 1,082.94, 1,624.23 and 389.47

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Solution

The fourth proportional to 1,082.94, 1,624.23 and 389.47 is: 584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.94 : 1,624.23 = 389.47 : x
  2. Step 2: Convert to fraction form
    1,082.94/1,624.23 = 389.47/x
  3. Step 3: Cross multiply
    1,082.94x = 1,624.23 × 389.47
  4. Step 4: Simplify right side
    1,082.94x = 632,584.80
  5. Step 5: Solve for x
    x = 632,584.80/1,082.94
  6. Step 6: Final answer
    x = 584.14

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1.5x scale

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.