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Finding the Fourth Proportional to 788.16, 1,182.24 and 641.74

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Solution

The fourth proportional to 788.16, 1,182.24 and 641.74 is: 962.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.16 : 1,182.24 = 641.74 : x
  2. Step 2: Convert to fraction form
    788.16/1,182.24 = 641.74/x
  3. Step 3: Cross multiply
    788.16x = 1,182.24 × 641.74
  4. Step 4: Simplify right side
    788.16x = 758,690.70
  5. Step 5: Solve for x
    x = 758,690.70/788.16
  6. Step 6: Final answer
    x = 962.61

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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.