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Finding the Fourth Proportional to 615.41, 922.50 and 506.06

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Solution

The fourth proportional to 615.41, 922.50 and 506.06 is: 758.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.41 : 922.50 = 506.06 : x
  2. Step 2: Convert to fraction form
    615.41/922.50 = 506.06/x
  3. Step 3: Cross multiply
    615.41x = 922.50 × 506.06
  4. Step 4: Simplify right side
    615.41x = 466,843.92
  5. Step 5: Solve for x
    x = 466,843.92/615.41
  6. Step 6: Final answer
    x = 758.59

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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.