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Finding the Fourth Proportional to 769.62, 1,061.10 and 536.34

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Solution

The fourth proportional to 769.62, 1,061.10 and 536.34 is: 739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.62 : 1,061.10 = 536.34 : x
  2. Step 2: Convert to fraction form
    769.62/1,061.10 = 536.34/x
  3. Step 3: Cross multiply
    769.62x = 1,061.10 × 536.34
  4. Step 4: Simplify right side
    769.62x = 569,110.37
  5. Step 5: Solve for x
    x = 569,110.37/769.62
  6. Step 6: Final answer
    x = 739.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.