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Finding the Fourth Proportional to 768.88, 1,151.46 and 538

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Solution

The fourth proportional to 768.88, 1,151.46 and 538 is: 805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.88 : 1,151.46 = 538 : x
  2. Step 2: Convert to fraction form
    768.88/1,151.46 = 538/x
  3. Step 3: Cross multiply
    768.88x = 1,151.46 × 538
  4. Step 4: Simplify right side
    768.88x = 619,485.48
  5. Step 5: Solve for x
    x = 619,485.48/768.88
  6. Step 6: Final answer
    x = 805.70

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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.