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Finding the Fourth Proportional to 634.16, 874.52 and 401.20

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Solution

The fourth proportional to 634.16, 874.52 and 401.20 is: 553.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.16 : 874.52 = 401.20 : x
  2. Step 2: Convert to fraction form
    634.16/874.52 = 401.20/x
  3. Step 3: Cross multiply
    634.16x = 874.52 × 401.20
  4. Step 4: Simplify right side
    634.16x = 350,857.42
  5. Step 5: Solve for x
    x = 350,857.42/634.16
  6. Step 6: Final answer
    x = 553.26

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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.