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Finding the Fourth Proportional to 773.62, 1,159.35 and 672.10

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Solution

The fourth proportional to 773.62, 1,159.35 and 672.10 is: 1,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.62 : 1,159.35 = 672.10 : x
  2. Step 2: Convert to fraction form
    773.62/1,159.35 = 672.10/x
  3. Step 3: Cross multiply
    773.62x = 1,159.35 × 672.10
  4. Step 4: Simplify right side
    773.62x = 779,199.14
  5. Step 5: Solve for x
    x = 779,199.14/773.62
  6. Step 6: Final answer
    x = 1,007.21

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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.