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Finding the Fourth Proportional to 412.43, 568.53 and 314.01

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Solution

The fourth proportional to 412.43, 568.53 and 314.01 is: 432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.43 : 568.53 = 314.01 : x
  2. Step 2: Convert to fraction form
    412.43/568.53 = 314.01/x
  3. Step 3: Cross multiply
    412.43x = 568.53 × 314.01
  4. Step 4: Simplify right side
    412.43x = 178,524.11
  5. Step 5: Solve for x
    x = 178,524.11/412.43
  6. Step 6: Final answer
    x = 432.86

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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.