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Finding the Fourth Proportional to 768.02, 1,153.85 and 713.34

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Solution

The fourth proportional to 768.02, 1,153.85 and 713.34 is: 1,071.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.02 : 1,153.85 = 713.34 : x
  2. Step 2: Convert to fraction form
    768.02/1,153.85 = 713.34/x
  3. Step 3: Cross multiply
    768.02x = 1,153.85 × 713.34
  4. Step 4: Simplify right side
    768.02x = 823,083.79
  5. Step 5: Solve for x
    x = 823,083.79/768.02
  6. Step 6: Final answer
    x = 1,071.70

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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.