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Finding the Fourth Proportional to 979.83, 1,468.40 and 493.21

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Solution

The fourth proportional to 979.83, 1,468.40 and 493.21 is: 739.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.83 : 1,468.40 = 493.21 : x
  2. Step 2: Convert to fraction form
    979.83/1,468.40 = 493.21/x
  3. Step 3: Cross multiply
    979.83x = 1,468.40 × 493.21
  4. Step 4: Simplify right side
    979.83x = 724,229.56
  5. Step 5: Solve for x
    x = 724,229.56/979.83
  6. Step 6: Final answer
    x = 739.14

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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.