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Finding the Fourth Proportional to 1,082, 1,623.68 and 432.78

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Solution

The fourth proportional to 1,082, 1,623.68 and 432.78 is: 649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082 : 1,623.68 = 432.78 : x
  2. Step 2: Convert to fraction form
    1,082/1,623.68 = 432.78/x
  3. Step 3: Cross multiply
    1,082x = 1,623.68 × 432.78
  4. Step 4: Simplify right side
    1,082x = 702,696.23
  5. Step 5: Solve for x
    x = 702,696.23/1,082
  6. Step 6: Final answer
    x = 649.44

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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.