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Finding the Fourth Proportional to 979.82, 1,468.78 and 363.35

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Solution

The fourth proportional to 979.82, 1,468.78 and 363.35 is: 544.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.82 : 1,468.78 = 363.35 : x
  2. Step 2: Convert to fraction form
    979.82/1,468.78 = 363.35/x
  3. Step 3: Cross multiply
    979.82x = 1,468.78 × 363.35
  4. Step 4: Simplify right side
    979.82x = 533,683.98
  5. Step 5: Solve for x
    x = 533,683.98/979.82
  6. Step 6: Final answer
    x = 544.68

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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.