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Finding the Fourth Proportional to 978.45, 1,467.90 and 311.42

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Solution

The fourth proportional to 978.45, 1,467.90 and 311.42 is: 467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.45 : 1,467.90 = 311.42 : x
  2. Step 2: Convert to fraction form
    978.45/1,467.90 = 311.42/x
  3. Step 3: Cross multiply
    978.45x = 1,467.90 × 311.42
  4. Step 4: Simplify right side
    978.45x = 457,126.08
  5. Step 5: Solve for x
    x = 457,126.08/978.45
  6. Step 6: Final answer
    x = 467.19

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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.