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Finding the Fourth Proportional to 823.90, 1,136.61 and 543.74

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Solution

The fourth proportional to 823.90, 1,136.61 and 543.74 is: 750.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.90 : 1,136.61 = 543.74 : x
  2. Step 2: Convert to fraction form
    823.90/1,136.61 = 543.74/x
  3. Step 3: Cross multiply
    823.90x = 1,136.61 × 543.74
  4. Step 4: Simplify right side
    823.90x = 618,020.32
  5. Step 5: Solve for x
    x = 618,020.32/823.90
  6. Step 6: Final answer
    x = 750.12

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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.