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Finding the Fourth Proportional to 978.99, 1,468.49 and 248.57

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Solution

The fourth proportional to 978.99, 1,468.49 and 248.57 is: 372.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.99 : 1,468.49 = 248.57 : x
  2. Step 2: Convert to fraction form
    978.99/1,468.49 = 248.57/x
  3. Step 3: Cross multiply
    978.99x = 1,468.49 × 248.57
  4. Step 4: Simplify right side
    978.99x = 365,022.56
  5. Step 5: Solve for x
    x = 365,022.56/978.99
  6. Step 6: Final answer
    x = 372.86

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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.