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Finding the Fourth Proportional to 758.12, 1,136.70 and 513.90

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Solution

The fourth proportional to 758.12, 1,136.70 and 513.90 is: 770.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.12 : 1,136.70 = 513.90 : x
  2. Step 2: Convert to fraction form
    758.12/1,136.70 = 513.90/x
  3. Step 3: Cross multiply
    758.12x = 1,136.70 × 513.90
  4. Step 4: Simplify right side
    758.12x = 584,150.13
  5. Step 5: Solve for x
    x = 584,150.13/758.12
  6. Step 6: Final answer
    x = 770.53

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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.