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Finding the Fourth Proportional to 520.41, 777.88 and 397.39

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Solution

The fourth proportional to 520.41, 777.88 and 397.39 is: 594.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.41 : 777.88 = 397.39 : x
  2. Step 2: Convert to fraction form
    520.41/777.88 = 397.39/x
  3. Step 3: Cross multiply
    520.41x = 777.88 × 397.39
  4. Step 4: Simplify right side
    520.41x = 309,121.73
  5. Step 5: Solve for x
    x = 309,121.73/520.41
  6. Step 6: Final answer
    x = 594.00

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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.