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Finding the Fourth Proportional to 466.29, 695.78 and 420.21

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Solution

The fourth proportional to 466.29, 695.78 and 420.21 is: 627.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.29 : 695.78 = 420.21 : x
  2. Step 2: Convert to fraction form
    466.29/695.78 = 420.21/x
  3. Step 3: Cross multiply
    466.29x = 695.78 × 420.21
  4. Step 4: Simplify right side
    466.29x = 292,371.61
  5. Step 5: Solve for x
    x = 292,371.61/466.29
  6. Step 6: Final answer
    x = 627.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.