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Finding the Fourth Proportional to 978.43, 1,467.62 and 385.51

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Solution

The fourth proportional to 978.43, 1,467.62 and 385.51 is: 578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.43 : 1,467.62 = 385.51 : x
  2. Step 2: Convert to fraction form
    978.43/1,467.62 = 385.51/x
  3. Step 3: Cross multiply
    978.43x = 1,467.62 × 385.51
  4. Step 4: Simplify right side
    978.43x = 565,780.79
  5. Step 5: Solve for x
    x = 565,780.79/978.43
  6. Step 6: Final answer
    x = 578.25

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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.