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Finding the Fourth Proportional to 652.44, 978.78 and 421.22

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Solution

The fourth proportional to 652.44, 978.78 and 421.22 is: 631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.44 : 978.78 = 421.22 : x
  2. Step 2: Convert to fraction form
    652.44/978.78 = 421.22/x
  3. Step 3: Cross multiply
    652.44x = 978.78 × 421.22
  4. Step 4: Simplify right side
    652.44x = 412,281.71
  5. Step 5: Solve for x
    x = 412,281.71/652.44
  6. Step 6: Final answer
    x = 631.91

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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.