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Finding the Fourth Proportional to 652.13, 978.00 and 219.19

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Solution

The fourth proportional to 652.13, 978.00 and 219.19 is: 328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.13 : 978.00 = 219.19 : x
  2. Step 2: Convert to fraction form
    652.13/978.00 = 219.19/x
  3. Step 3: Cross multiply
    652.13x = 978.00 × 219.19
  4. Step 4: Simplify right side
    652.13x = 214,364.55
  5. Step 5: Solve for x
    x = 214,364.55/652.13
  6. Step 6: Final answer
    x = 328.71

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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.