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Finding the Fourth Proportional to 979.81, 1,352.15 and 601.81

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Solution

The fourth proportional to 979.81, 1,352.15 and 601.81 is: 830.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.81 : 1,352.15 = 601.81 : x
  2. Step 2: Convert to fraction form
    979.81/1,352.15 = 601.81/x
  3. Step 3: Cross multiply
    979.81x = 1,352.15 × 601.81
  4. Step 4: Simplify right side
    979.81x = 813,735.52
  5. Step 5: Solve for x
    x = 813,735.52/979.81
  6. Step 6: Final answer
    x = 830.51

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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.