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Finding the Fourth Proportional to 743.32, 1,025.75 and 411.76

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Solution

The fourth proportional to 743.32, 1,025.75 and 411.76 is: 568.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.32 : 1,025.75 = 411.76 : x
  2. Step 2: Convert to fraction form
    743.32/1,025.75 = 411.76/x
  3. Step 3: Cross multiply
    743.32x = 1,025.75 × 411.76
  4. Step 4: Simplify right side
    743.32x = 422,361.29
  5. Step 5: Solve for x
    x = 422,361.29/743.32
  6. Step 6: Final answer
    x = 568.21

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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.