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Finding the Fourth Proportional to 785.53, 1,176.49 and 565.57

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Solution

The fourth proportional to 785.53, 1,176.49 and 565.57 is: 847.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.53 : 1,176.49 = 565.57 : x
  2. Step 2: Convert to fraction form
    785.53/1,176.49 = 565.57/x
  3. Step 3: Cross multiply
    785.53x = 1,176.49 × 565.57
  4. Step 4: Simplify right side
    785.53x = 665,387.45
  5. Step 5: Solve for x
    x = 665,387.45/785.53
  6. Step 6: Final answer
    x = 847.06

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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.