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Finding the Fourth Proportional to 768.18, 1,151.61 and 357.10

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Solution

The fourth proportional to 768.18, 1,151.61 and 357.10 is: 535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.18 : 1,151.61 = 357.10 : x
  2. Step 2: Convert to fraction form
    768.18/1,151.61 = 357.10/x
  3. Step 3: Cross multiply
    768.18x = 1,151.61 × 357.10
  4. Step 4: Simplify right side
    768.18x = 411,239.93
  5. Step 5: Solve for x
    x = 411,239.93/768.18
  6. Step 6: Final answer
    x = 535.34

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