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Finding the Fourth Proportional to 711.82, 1,062.33 and 693.37

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Solution

The fourth proportional to 711.82, 1,062.33 and 693.37 is: 1,034.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.82 : 1,062.33 = 693.37 : x
  2. Step 2: Convert to fraction form
    711.82/1,062.33 = 693.37/x
  3. Step 3: Cross multiply
    711.82x = 1,062.33 × 693.37
  4. Step 4: Simplify right side
    711.82x = 736,584.40
  5. Step 5: Solve for x
    x = 736,584.40/711.82
  6. Step 6: Final answer
    x = 1,034.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.