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Finding the Fourth Proportional to 466.26, 698.72 and 421.32

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Solution

The fourth proportional to 466.26, 698.72 and 421.32 is: 631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.26 : 698.72 = 421.32 : x
  2. Step 2: Convert to fraction form
    466.26/698.72 = 421.32/x
  3. Step 3: Cross multiply
    466.26x = 698.72 × 421.32
  4. Step 4: Simplify right side
    466.26x = 294,384.71
  5. Step 5: Solve for x
    x = 294,384.71/466.26
  6. Step 6: Final answer
    x = 631.37

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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.