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Finding the Fourth Proportional to 823.40, 1,136.49 and 543.50

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Solution

The fourth proportional to 823.40, 1,136.49 and 543.50 is: 750.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.40 : 1,136.49 = 543.50 : x
  2. Step 2: Convert to fraction form
    823.40/1,136.49 = 543.50/x
  3. Step 3: Cross multiply
    823.40x = 1,136.49 × 543.50
  4. Step 4: Simplify right side
    823.40x = 617,682.32
  5. Step 5: Solve for x
    x = 617,682.32/823.40
  6. Step 6: Final answer
    x = 750.16

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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.