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Finding the Fourth Proportional to 785.60, 1,176.24 and 540.80

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Solution

The fourth proportional to 785.60, 1,176.24 and 540.80 is: 809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.60 : 1,176.24 = 540.80 : x
  2. Step 2: Convert to fraction form
    785.60/1,176.24 = 540.80/x
  3. Step 3: Cross multiply
    785.60x = 1,176.24 × 540.80
  4. Step 4: Simplify right side
    785.60x = 636,110.59
  5. Step 5: Solve for x
    x = 636,110.59/785.60
  6. Step 6: Final answer
    x = 809.71

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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.