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Finding the Fourth Proportional to 769.67, 1,062.48 and 521.34

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Solution

The fourth proportional to 769.67, 1,062.48 and 521.34 is: 719.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.67 : 1,062.48 = 521.34 : x
  2. Step 2: Convert to fraction form
    769.67/1,062.48 = 521.34/x
  3. Step 3: Cross multiply
    769.67x = 1,062.48 × 521.34
  4. Step 4: Simplify right side
    769.67x = 553,911.29
  5. Step 5: Solve for x
    x = 553,911.29/769.67
  6. Step 6: Final answer
    x = 719.67

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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.