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Finding the Fourth Proportional to 684.02, 944.08 and 400.61

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Solution

The fourth proportional to 684.02, 944.08 and 400.61 is: 552.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.02 : 944.08 = 400.61 : x
  2. Step 2: Convert to fraction form
    684.02/944.08 = 400.61/x
  3. Step 3: Cross multiply
    684.02x = 944.08 × 400.61
  4. Step 4: Simplify right side
    684.02x = 378,202.17
  5. Step 5: Solve for x
    x = 378,202.17/684.02
  6. Step 6: Final answer
    x = 552.91

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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.