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Finding the Fourth Proportional to 423.57, 633.62 and 320.08

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Solution

The fourth proportional to 423.57, 633.62 and 320.08 is: 478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.57 : 633.62 = 320.08 : x
  2. Step 2: Convert to fraction form
    423.57/633.62 = 320.08/x
  3. Step 3: Cross multiply
    423.57x = 633.62 × 320.08
  4. Step 4: Simplify right side
    423.57x = 202,807.49
  5. Step 5: Solve for x
    x = 202,807.49/423.57
  6. Step 6: Final answer
    x = 478.81

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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.