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Finding the Fourth Proportional to 615.79, 922.98 and 204.83

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Solution

The fourth proportional to 615.79, 922.98 and 204.83 is: 307.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.79 : 922.98 = 204.83 : x
  2. Step 2: Convert to fraction form
    615.79/922.98 = 204.83/x
  3. Step 3: Cross multiply
    615.79x = 922.98 × 204.83
  4. Step 4: Simplify right side
    615.79x = 189,049.38
  5. Step 5: Solve for x
    x = 189,049.38/615.79
  6. Step 6: Final answer
    x = 307.01

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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.