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Finding the Fourth Proportional to 478.44, 711.84 and 476.82

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Solution

The fourth proportional to 478.44, 711.84 and 476.82 is: 709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.44 : 711.84 = 476.82 : x
  2. Step 2: Convert to fraction form
    478.44/711.84 = 476.82/x
  3. Step 3: Cross multiply
    478.44x = 711.84 × 476.82
  4. Step 4: Simplify right side
    478.44x = 339,419.99
  5. Step 5: Solve for x
    x = 339,419.99/478.44
  6. Step 6: Final answer
    x = 709.43

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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.