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Finding the Fourth Proportional to 617.68, 926.88 and 400.96

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Solution

The fourth proportional to 617.68, 926.88 and 400.96 is: 601.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.68 : 926.88 = 400.96 : x
  2. Step 2: Convert to fraction form
    617.68/926.88 = 400.96/x
  3. Step 3: Cross multiply
    617.68x = 926.88 × 400.96
  4. Step 4: Simplify right side
    617.68x = 371,641.80
  5. Step 5: Solve for x
    x = 371,641.80/617.68
  6. Step 6: Final answer
    x = 601.67

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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.