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Finding the Fourth Proportional to 823.50, 1,136.61 and 513.18

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Solution

The fourth proportional to 823.50, 1,136.61 and 513.18 is: 708.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.50 : 1,136.61 = 513.18 : x
  2. Step 2: Convert to fraction form
    823.50/1,136.61 = 513.18/x
  3. Step 3: Cross multiply
    823.50x = 1,136.61 × 513.18
  4. Step 4: Simplify right side
    823.50x = 583,285.52
  5. Step 5: Solve for x
    x = 583,285.52/823.50
  6. Step 6: Final answer
    x = 708.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.