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Finding the Fourth Proportional to 521.37, 778.22 and 478.08

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Solution

The fourth proportional to 521.37, 778.22 and 478.08 is: 713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.37 : 778.22 = 478.08 : x
  2. Step 2: Convert to fraction form
    521.37/778.22 = 478.08/x
  3. Step 3: Cross multiply
    521.37x = 778.22 × 478.08
  4. Step 4: Simplify right side
    521.37x = 372,049.03
  5. Step 5: Solve for x
    x = 372,049.03/521.37
  6. Step 6: Final answer
    x = 713.60

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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.