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Finding the Fourth Proportional to 978.60, 1,467.96 and 285.27

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Solution

The fourth proportional to 978.60, 1,467.96 and 285.27 is: 427.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.60 : 1,467.96 = 285.27 : x
  2. Step 2: Convert to fraction form
    978.60/1,467.96 = 285.27/x
  3. Step 3: Cross multiply
    978.60x = 1,467.96 × 285.27
  4. Step 4: Simplify right side
    978.60x = 418,764.95
  5. Step 5: Solve for x
    x = 418,764.95/978.60
  6. Step 6: Final answer
    x = 427.92

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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.