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Finding the Fourth Proportional to 652.07, 978.11 and 219.53

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Solution

The fourth proportional to 652.07, 978.11 and 219.53 is: 329.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.07 : 978.11 = 219.53 : x
  2. Step 2: Convert to fraction form
    652.07/978.11 = 219.53/x
  3. Step 3: Cross multiply
    652.07x = 978.11 × 219.53
  4. Step 4: Simplify right side
    652.07x = 214,725.84
  5. Step 5: Solve for x
    x = 214,725.84/652.07
  6. Step 6: Final answer
    x = 329.30

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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.