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Finding the Fourth Proportional to 823.52, 1,136.40 and 649.28

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Solution

The fourth proportional to 823.52, 1,136.40 and 649.28 is: 895.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.52 : 1,136.40 = 649.28 : x
  2. Step 2: Convert to fraction form
    823.52/1,136.40 = 649.28/x
  3. Step 3: Cross multiply
    823.52x = 1,136.40 × 649.28
  4. Step 4: Simplify right side
    823.52x = 737,841.79
  5. Step 5: Solve for x
    x = 737,841.79/823.52
  6. Step 6: Final answer
    x = 895.96

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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.