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Finding the Fourth Proportional to 978.87, 1,468.71 and 458.49

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Solution

The fourth proportional to 978.87, 1,468.71 and 458.49 is: 687.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.87 : 1,468.71 = 458.49 : x
  2. Step 2: Convert to fraction form
    978.87/1,468.71 = 458.49/x
  3. Step 3: Cross multiply
    978.87x = 1,468.71 × 458.49
  4. Step 4: Simplify right side
    978.87x = 673,388.85
  5. Step 5: Solve for x
    x = 673,388.85/978.87
  6. Step 6: Final answer
    x = 687.92

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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.