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Finding the Fourth Proportional to 783.76, 1,176.44 and 539.44

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Solution

The fourth proportional to 783.76, 1,176.44 and 539.44 is: 809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.76 : 1,176.44 = 539.44 : x
  2. Step 2: Convert to fraction form
    783.76/1,176.44 = 539.44/x
  3. Step 3: Cross multiply
    783.76x = 1,176.44 × 539.44
  4. Step 4: Simplify right side
    783.76x = 634,618.79
  5. Step 5: Solve for x
    x = 634,618.79/783.76
  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.