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Finding the Fourth Proportional to 467.09, 703.91 and 420.87

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Solution

The fourth proportional to 467.09, 703.91 and 420.87 is: 634.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.09 : 703.91 = 420.87 : x
  2. Step 2: Convert to fraction form
    467.09/703.91 = 420.87/x
  3. Step 3: Cross multiply
    467.09x = 703.91 × 420.87
  4. Step 4: Simplify right side
    467.09x = 296,258.29
  5. Step 5: Solve for x
    x = 296,258.29/467.09
  6. Step 6: Final answer
    x = 634.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.