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Finding the Fourth Proportional to 788.13, 1,179.77 and 632.61

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Solution

The fourth proportional to 788.13, 1,179.77 and 632.61 is: 946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.13 : 1,179.77 = 632.61 : x
  2. Step 2: Convert to fraction form
    788.13/1,179.77 = 632.61/x
  3. Step 3: Cross multiply
    788.13x = 1,179.77 × 632.61
  4. Step 4: Simplify right side
    788.13x = 746,331.14
  5. Step 5: Solve for x
    x = 746,331.14/788.13
  6. Step 6: Final answer
    x = 946.96

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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.