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Finding the Fourth Proportional to 979.03, 1,468.39 and 285.55

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Solution

The fourth proportional to 979.03, 1,468.39 and 285.55 is: 428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.03 : 1,468.39 = 285.55 : x
  2. Step 2: Convert to fraction form
    979.03/1,468.39 = 285.55/x
  3. Step 3: Cross multiply
    979.03x = 1,468.39 × 285.55
  4. Step 4: Simplify right side
    979.03x = 419,298.76
  5. Step 5: Solve for x
    x = 419,298.76/979.03
  6. Step 6: Final answer
    x = 428.28

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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.