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Finding the Fourth Proportional to 471.94, 710.74 and 421.04

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Solution

The fourth proportional to 471.94, 710.74 and 421.04 is: 634.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.94 : 710.74 = 421.04 : x
  2. Step 2: Convert to fraction form
    471.94/710.74 = 421.04/x
  3. Step 3: Cross multiply
    471.94x = 710.74 × 421.04
  4. Step 4: Simplify right side
    471.94x = 299,249.97
  5. Step 5: Solve for x
    x = 299,249.97/471.94
  6. Step 6: Final answer
    x = 634.08

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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.