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Finding the Fourth Proportional to 459.12, 633.03 and 399.89

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Solution

The fourth proportional to 459.12, 633.03 and 399.89 is: 551.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.12 : 633.03 = 399.89 : x
  2. Step 2: Convert to fraction form
    459.12/633.03 = 399.89/x
  3. Step 3: Cross multiply
    459.12x = 633.03 × 399.89
  4. Step 4: Simplify right side
    459.12x = 253,144.70
  5. Step 5: Solve for x
    x = 253,144.70/459.12
  6. Step 6: Final answer
    x = 551.36

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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.