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Finding the Fourth Proportional to 615.70, 922.20 and 477.66

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Solution

The fourth proportional to 615.70, 922.20 and 477.66 is: 715.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.70 : 922.20 = 477.66 : x
  2. Step 2: Convert to fraction form
    615.70/922.20 = 477.66/x
  3. Step 3: Cross multiply
    615.70x = 922.20 × 477.66
  4. Step 4: Simplify right side
    615.70x = 440,498.05
  5. Step 5: Solve for x
    x = 440,498.05/615.70
  6. Step 6: Final answer
    x = 715.44

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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.