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Finding the Fourth Proportional to 684.97, 945.40 and 401.57

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Solution

The fourth proportional to 684.97, 945.40 and 401.57 is: 554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.97 : 945.40 = 401.57 : x
  2. Step 2: Convert to fraction form
    684.97/945.40 = 401.57/x
  3. Step 3: Cross multiply
    684.97x = 945.40 × 401.57
  4. Step 4: Simplify right side
    684.97x = 379,644.28
  5. Step 5: Solve for x
    x = 379,644.28/684.97
  6. Step 6: Final answer
    x = 554.25

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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.