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Finding the Fourth Proportional to 672.13, 1,007.10 and 260.80

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Solution

The fourth proportional to 672.13, 1,007.10 and 260.80 is: 390.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.13 : 1,007.10 = 260.80 : x
  2. Step 2: Convert to fraction form
    672.13/1,007.10 = 260.80/x
  3. Step 3: Cross multiply
    672.13x = 1,007.10 × 260.80
  4. Step 4: Simplify right side
    672.13x = 262,651.68
  5. Step 5: Solve for x
    x = 262,651.68/672.13
  6. Step 6: Final answer
    x = 390.78

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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.