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Finding the Fourth Proportional to 767.88, 1,151.00 and 357.29

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Solution

The fourth proportional to 767.88, 1,151.00 and 357.29 is: 535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.88 : 1,151.00 = 357.29 : x
  2. Step 2: Convert to fraction form
    767.88/1,151.00 = 357.29/x
  3. Step 3: Cross multiply
    767.88x = 1,151.00 × 357.29
  4. Step 4: Simplify right side
    767.88x = 411,233.25
  5. Step 5: Solve for x
    x = 411,233.25/767.88
  6. Step 6: Final answer
    x = 535.54

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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.