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Finding the Fourth Proportional to 478.71, 716.04 and 447.93

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Solution

The fourth proportional to 478.71, 716.04 and 447.93 is: 670.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.71 : 716.04 = 447.93 : x
  2. Step 2: Convert to fraction form
    478.71/716.04 = 447.93/x
  3. Step 3: Cross multiply
    478.71x = 716.04 × 447.93
  4. Step 4: Simplify right side
    478.71x = 320,735.80
  5. Step 5: Solve for x
    x = 320,735.80/478.71
  6. Step 6: Final answer
    x = 670.00

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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.