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Finding the Fourth Proportional to 493.71, 736.29 and 421.05

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Solution

The fourth proportional to 493.71, 736.29 and 421.05 is: 627.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.71 : 736.29 = 421.05 : x
  2. Step 2: Convert to fraction form
    493.71/736.29 = 421.05/x
  3. Step 3: Cross multiply
    493.71x = 736.29 × 421.05
  4. Step 4: Simplify right side
    493.71x = 310,014.90
  5. Step 5: Solve for x
    x = 310,014.90/493.71
  6. Step 6: Final answer
    x = 627.93

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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.