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Finding the Fourth Proportional to 411.40, 568.31 and 374.50

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Solution

The fourth proportional to 411.40, 568.31 and 374.50 is: 517.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.40 : 568.31 = 374.50 : x
  2. Step 2: Convert to fraction form
    411.40/568.31 = 374.50/x
  3. Step 3: Cross multiply
    411.40x = 568.31 × 374.50
  4. Step 4: Simplify right side
    411.40x = 212,830.93
  5. Step 5: Solve for x
    x = 212,830.93/411.40
  6. Step 6: Final answer
    x = 517.33

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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.