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Finding the Fourth Proportional to 423.96, 633.44 and 313.80

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Solution

The fourth proportional to 423.96, 633.44 and 313.80 is: 468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.96 : 633.44 = 313.80 : x
  2. Step 2: Convert to fraction form
    423.96/633.44 = 313.80/x
  3. Step 3: Cross multiply
    423.96x = 633.44 × 313.80
  4. Step 4: Simplify right side
    423.96x = 198,773.47
  5. Step 5: Solve for x
    x = 198,773.47/423.96
  6. Step 6: Final answer
    x = 468.85

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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.