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Finding the Fourth Proportional to 615.72, 923.61 and 400.67

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Solution

The fourth proportional to 615.72, 923.61 and 400.67 is: 601.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.72 : 923.61 = 400.67 : x
  2. Step 2: Convert to fraction form
    615.72/923.61 = 400.67/x
  3. Step 3: Cross multiply
    615.72x = 923.61 × 400.67
  4. Step 4: Simplify right side
    615.72x = 370,058.20
  5. Step 5: Solve for x
    x = 370,058.20/615.72
  6. Step 6: Final answer
    x = 601.02

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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.