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Finding the Fourth Proportional to 769.30, 1,060.68 and 651.07

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Solution

The fourth proportional to 769.30, 1,060.68 and 651.07 is: 897.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.30 : 1,060.68 = 651.07 : x
  2. Step 2: Convert to fraction form
    769.30/1,060.68 = 651.07/x
  3. Step 3: Cross multiply
    769.30x = 1,060.68 × 651.07
  4. Step 4: Simplify right side
    769.30x = 690,576.93
  5. Step 5: Solve for x
    x = 690,576.93/769.30
  6. Step 6: Final answer
    x = 897.67

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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.