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Finding the Fourth Proportional to 720.14, 1,080.48 and 431.78

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Solution

The fourth proportional to 720.14, 1,080.48 and 431.78 is: 647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.14 : 1,080.48 = 431.78 : x
  2. Step 2: Convert to fraction form
    720.14/1,080.48 = 431.78/x
  3. Step 3: Cross multiply
    720.14x = 1,080.48 × 431.78
  4. Step 4: Simplify right side
    720.14x = 466,529.65
  5. Step 5: Solve for x
    x = 466,529.65/720.14
  6. Step 6: Final answer
    x = 647.83

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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.