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Finding the Fourth Proportional to 412.49, 568.89 and 319.07

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Solution

The fourth proportional to 412.49, 568.89 and 319.07 is: 440.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.49 : 568.89 = 319.07 : x
  2. Step 2: Convert to fraction form
    412.49/568.89 = 319.07/x
  3. Step 3: Cross multiply
    412.49x = 568.89 × 319.07
  4. Step 4: Simplify right side
    412.49x = 181,517.15
  5. Step 5: Solve for x
    x = 181,517.15/412.49
  6. Step 6: Final answer
    x = 440.05

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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.