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Finding the Fourth Proportional to 427.48, 642.08 and 401.56

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Solution

The fourth proportional to 427.48, 642.08 and 401.56 is: 603.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.48 : 642.08 = 401.56 : x
  2. Step 2: Convert to fraction form
    427.48/642.08 = 401.56/x
  3. Step 3: Cross multiply
    427.48x = 642.08 × 401.56
  4. Step 4: Simplify right side
    427.48x = 257,833.64
  5. Step 5: Solve for x
    x = 257,833.64/427.48
  6. Step 6: Final answer
    x = 603.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.