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Finding the Fourth Proportional to 400.62, 601.02 and 289.97

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Solution

The fourth proportional to 400.62, 601.02 and 289.97 is: 435.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.62 : 601.02 = 289.97 : x
  2. Step 2: Convert to fraction form
    400.62/601.02 = 289.97/x
  3. Step 3: Cross multiply
    400.62x = 601.02 × 289.97
  4. Step 4: Simplify right side
    400.62x = 174,274.76
  5. Step 5: Solve for x
    x = 174,274.76/400.62
  6. Step 6: Final answer
    x = 435.01

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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.