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Finding the Fourth Proportional to 823.58, 1,135.68 and 543.45

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Solution

The fourth proportional to 823.58, 1,135.68 and 543.45 is: 749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.58 : 1,135.68 = 543.45 : x
  2. Step 2: Convert to fraction form
    823.58/1,135.68 = 543.45/x
  3. Step 3: Cross multiply
    823.58x = 1,135.68 × 543.45
  4. Step 4: Simplify right side
    823.58x = 617,185.85
  5. Step 5: Solve for x
    x = 617,185.85/823.58
  6. Step 6: Final answer
    x = 749.40

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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.