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Finding the Fourth Proportional to 615.77, 922.85 and 341.72

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Solution

The fourth proportional to 615.77, 922.85 and 341.72 is: 512.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.77 : 922.85 = 341.72 : x
  2. Step 2: Convert to fraction form
    615.77/922.85 = 341.72/x
  3. Step 3: Cross multiply
    615.77x = 922.85 × 341.72
  4. Step 4: Simplify right side
    615.77x = 315,354.59
  5. Step 5: Solve for x
    x = 315,354.59/615.77
  6. Step 6: Final answer
    x = 512.13

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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.