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Finding the Fourth Proportional to 653.95, 978.49 and 394.14

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Solution

The fourth proportional to 653.95, 978.49 and 394.14 is: 589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.95 : 978.49 = 394.14 : x
  2. Step 2: Convert to fraction form
    653.95/978.49 = 394.14/x
  3. Step 3: Cross multiply
    653.95x = 978.49 × 394.14
  4. Step 4: Simplify right side
    653.95x = 385,660.08
  5. Step 5: Solve for x
    x = 385,660.08/653.95
  6. Step 6: Final answer
    x = 589.74

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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.