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Finding the Fourth Proportional to 412.46, 568.79 and 319.40

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Solution

The fourth proportional to 412.46, 568.79 and 319.40 is: 440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.46 : 568.79 = 319.40 : x
  2. Step 2: Convert to fraction form
    412.46/568.79 = 319.40/x
  3. Step 3: Cross multiply
    412.46x = 568.79 × 319.40
  4. Step 4: Simplify right side
    412.46x = 181,671.53
  5. Step 5: Solve for x
    x = 181,671.53/412.46
  6. Step 6: Final answer
    x = 440.46

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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.