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Finding the Fourth Proportional to 508.22, 762.48 and 421.16

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Solution

The fourth proportional to 508.22, 762.48 and 421.16 is: 631.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.22 : 762.48 = 421.16 : x
  2. Step 2: Convert to fraction form
    508.22/762.48 = 421.16/x
  3. Step 3: Cross multiply
    508.22x = 762.48 × 421.16
  4. Step 4: Simplify right side
    508.22x = 321,122.26
  5. Step 5: Solve for x
    x = 321,122.26/508.22
  6. Step 6: Final answer
    x = 631.86

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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.