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Finding the Fourth Proportional to 785.53, 1,175.51 and 732.24

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Solution

The fourth proportional to 785.53, 1,175.51 and 732.24 is: 1,095.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.53 : 1,175.51 = 732.24 : x
  2. Step 2: Convert to fraction form
    785.53/1,175.51 = 732.24/x
  3. Step 3: Cross multiply
    785.53x = 1,175.51 × 732.24
  4. Step 4: Simplify right side
    785.53x = 860,757.27
  5. Step 5: Solve for x
    x = 860,757.27/785.53
  6. Step 6: Final answer
    x = 1,095.76

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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.