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Finding the Fourth Proportional to 720.80, 1,082 and 288.26

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Solution

The fourth proportional to 720.80, 1,082 and 288.26 is: 432.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.80 : 1,082 = 288.26 : x
  2. Step 2: Convert to fraction form
    720.80/1,082 = 288.26/x
  3. Step 3: Cross multiply
    720.80x = 1,082 × 288.26
  4. Step 4: Simplify right side
    720.80x = 311,897.32
  5. Step 5: Solve for x
    x = 311,897.32/720.80
  6. Step 6: Final answer
    x = 432.71

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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.