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Finding the Fourth Proportional to 978.72, 1,468.78 and 393.38

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Solution

The fourth proportional to 978.72, 1,468.78 and 393.38 is: 590.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.72 : 1,468.78 = 393.38 : x
  2. Step 2: Convert to fraction form
    978.72/1,468.78 = 393.38/x
  3. Step 3: Cross multiply
    978.72x = 1,468.78 × 393.38
  4. Step 4: Simplify right side
    978.72x = 577,788.68
  5. Step 5: Solve for x
    x = 577,788.68/978.72
  6. Step 6: Final answer
    x = 590.35

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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.