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Finding the Fourth Proportional to 838.80, 1,157.10 and 543.57

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Solution

The fourth proportional to 838.80, 1,157.10 and 543.57 is: 749.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.80 : 1,157.10 = 543.57 : x
  2. Step 2: Convert to fraction form
    838.80/1,157.10 = 543.57/x
  3. Step 3: Cross multiply
    838.80x = 1,157.10 × 543.57
  4. Step 4: Simplify right side
    838.80x = 628,964.85
  5. Step 5: Solve for x
    x = 628,964.85/838.80
  6. Step 6: Final answer
    x = 749.84

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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.