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Finding the Fourth Proportional to 423.62, 633.06 and 400.22

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Solution

The fourth proportional to 423.62, 633.06 and 400.22 is: 598.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.62 : 633.06 = 400.22 : x
  2. Step 2: Convert to fraction form
    423.62/633.06 = 400.22/x
  3. Step 3: Cross multiply
    423.62x = 633.06 × 400.22
  4. Step 4: Simplify right side
    423.62x = 253,363.27
  5. Step 5: Solve for x
    x = 253,363.27/423.62
  6. Step 6: Final answer
    x = 598.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.