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Finding the Fourth Proportional to 615.05, 922.22 and 420.28

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Solution

The fourth proportional to 615.05, 922.22 and 420.28 is: 630.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.05 : 922.22 = 420.28 : x
  2. Step 2: Convert to fraction form
    615.05/922.22 = 420.28/x
  3. Step 3: Cross multiply
    615.05x = 922.22 × 420.28
  4. Step 4: Simplify right side
    615.05x = 387,590.62
  5. Step 5: Solve for x
    x = 387,590.62/615.05
  6. Step 6: Final answer
    x = 630.18

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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.