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Finding the Fourth Proportional to 1,389.18, 2,082 and 566.49

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Solution

The fourth proportional to 1,389.18, 2,082 and 566.49 is: 849.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.18 : 2,082 = 566.49 : x
  2. Step 2: Convert to fraction form
    1,389.18/2,082 = 566.49/x
  3. Step 3: Cross multiply
    1,389.18x = 2,082 × 566.49
  4. Step 4: Simplify right side
    1,389.18x = 1,179,432.18
  5. Step 5: Solve for x
    x = 1,179,432.18/1,389.18
  6. Step 6: Final answer
    x = 849.01

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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.