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Finding the Fourth Proportional to 768.99, 1,151.85 and 713.91

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Solution

The fourth proportional to 768.99, 1,151.85 and 713.91 is: 1,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.99 : 1,151.85 = 713.91 : x
  2. Step 2: Convert to fraction form
    768.99/1,151.85 = 713.91/x
  3. Step 3: Cross multiply
    768.99x = 1,151.85 × 713.91
  4. Step 4: Simplify right side
    768.99x = 822,317.23
  5. Step 5: Solve for x
    x = 822,317.23/768.99
  6. Step 6: Final answer
    x = 1,069.35

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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.