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Finding the Fourth Proportional to 615.38, 923.33 and 563.47

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Solution

The fourth proportional to 615.38, 923.33 and 563.47 is: 845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.38 : 923.33 = 563.47 : x
  2. Step 2: Convert to fraction form
    615.38/923.33 = 563.47/x
  3. Step 3: Cross multiply
    615.38x = 923.33 × 563.47
  4. Step 4: Simplify right side
    615.38x = 520,267.86
  5. Step 5: Solve for x
    x = 520,267.86/615.38
  6. Step 6: Final answer
    x = 845.45

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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.