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Finding the Fourth Proportional to 945.49, 1,418.37 and 397.81

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Solution

The fourth proportional to 945.49, 1,418.37 and 397.81 is: 596.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.49 : 1,418.37 = 397.81 : x
  2. Step 2: Convert to fraction form
    945.49/1,418.37 = 397.81/x
  3. Step 3: Cross multiply
    945.49x = 1,418.37 × 397.81
  4. Step 4: Simplify right side
    945.49x = 564,241.77
  5. Step 5: Solve for x
    x = 564,241.77/945.49
  6. Step 6: Final answer
    x = 596.77

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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.