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Finding the Fourth Proportional to 765.88, 1,146.30 and 543.08

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Solution

The fourth proportional to 765.88, 1,146.30 and 543.08 is: 812.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.88 : 1,146.30 = 543.08 : x
  2. Step 2: Convert to fraction form
    765.88/1,146.30 = 543.08/x
  3. Step 3: Cross multiply
    765.88x = 1,146.30 × 543.08
  4. Step 4: Simplify right side
    765.88x = 622,532.60
  5. Step 5: Solve for x
    x = 622,532.60/765.88
  6. Step 6: Final answer
    x = 812.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.