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Finding the Fourth Proportional to 426.49, 642.29 and 375.68

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Solution

The fourth proportional to 426.49, 642.29 and 375.68 is: 565.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.49 : 642.29 = 375.68 : x
  2. Step 2: Convert to fraction form
    426.49/642.29 = 375.68/x
  3. Step 3: Cross multiply
    426.49x = 642.29 × 375.68
  4. Step 4: Simplify right side
    426.49x = 241,295.23
  5. Step 5: Solve for x
    x = 241,295.23/426.49
  6. Step 6: Final answer
    x = 565.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.