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Finding the Fourth Proportional to 773.45, 1,158.50 and 513.57

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Solution

The fourth proportional to 773.45, 1,158.50 and 513.57 is: 769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.45 : 1,158.50 = 513.57 : x
  2. Step 2: Convert to fraction form
    773.45/1,158.50 = 513.57/x
  3. Step 3: Cross multiply
    773.45x = 1,158.50 × 513.57
  4. Step 4: Simplify right side
    773.45x = 594,968.28
  5. Step 5: Solve for x
    x = 594,968.28/773.45
  6. Step 6: Final answer
    x = 769.24

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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.