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Finding the Fourth Proportional to 978.72, 1,468.08 and 401.19

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Solution

The fourth proportional to 978.72, 1,468.08 and 401.19 is: 601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.72 : 1,468.08 = 401.19 : x
  2. Step 2: Convert to fraction form
    978.72/1,468.08 = 401.19/x
  3. Step 3: Cross multiply
    978.72x = 1,468.08 × 401.19
  4. Step 4: Simplify right side
    978.72x = 588,979.02
  5. Step 5: Solve for x
    x = 588,979.02/978.72
  6. Step 6: Final answer
    x = 601.79

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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.