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Finding the Fourth Proportional to 1,065.70, 1,596.66 and 516.52

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Solution

The fourth proportional to 1,065.70, 1,596.66 and 516.52 is: 773.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.70 : 1,596.66 = 516.52 : x
  2. Step 2: Convert to fraction form
    1,065.70/1,596.66 = 516.52/x
  3. Step 3: Cross multiply
    1,065.70x = 1,596.66 × 516.52
  4. Step 4: Simplify right side
    1,065.70x = 824,706.82
  5. Step 5: Solve for x
    x = 824,706.82/1,065.70
  6. Step 6: Final answer
    x = 773.86

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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.