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Finding the Fourth Proportional to 459.74, 633.89 and 381.15

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Solution

The fourth proportional to 459.74, 633.89 and 381.15 is: 525.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.74 : 633.89 = 381.15 : x
  2. Step 2: Convert to fraction form
    459.74/633.89 = 381.15/x
  3. Step 3: Cross multiply
    459.74x = 633.89 × 381.15
  4. Step 4: Simplify right side
    459.74x = 241,605.27
  5. Step 5: Solve for x
    x = 241,605.27/459.74
  6. Step 6: Final answer
    x = 525.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.