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Finding the Fourth Proportional to 978.96, 1,467.44 and 458.72

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Solution

The fourth proportional to 978.96, 1,467.44 and 458.72 is: 687.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.96 : 1,467.44 = 458.72 : x
  2. Step 2: Convert to fraction form
    978.96/1,467.44 = 458.72/x
  3. Step 3: Cross multiply
    978.96x = 1,467.44 × 458.72
  4. Step 4: Simplify right side
    978.96x = 673,144.08
  5. Step 5: Solve for x
    x = 673,144.08/978.96
  6. Step 6: Final answer
    x = 687.61

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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.