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Finding the Fourth Proportional to 615.15, 923.34 and 442.02

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Solution

The fourth proportional to 615.15, 923.34 and 442.02 is: 663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.15 : 923.34 = 442.02 : x
  2. Step 2: Convert to fraction form
    615.15/923.34 = 442.02/x
  3. Step 3: Cross multiply
    615.15x = 923.34 × 442.02
  4. Step 4: Simplify right side
    615.15x = 408,134.75
  5. Step 5: Solve for x
    x = 408,134.75/615.15
  6. Step 6: Final answer
    x = 663.47

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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.