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Finding the Fourth Proportional to 426.08, 642.65 and 375.35

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Solution

The fourth proportional to 426.08, 642.65 and 375.35 is: 566.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.08 : 642.65 = 375.35 : x
  2. Step 2: Convert to fraction form
    426.08/642.65 = 375.35/x
  3. Step 3: Cross multiply
    426.08x = 642.65 × 375.35
  4. Step 4: Simplify right side
    426.08x = 241,218.68
  5. Step 5: Solve for x
    x = 241,218.68/426.08
  6. Step 6: Final answer
    x = 566.14

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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.