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Finding the Fourth Proportional to 945.38, 1,418 and 389.94

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Solution

The fourth proportional to 945.38, 1,418 and 389.94 is: 584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.38 : 1,418 = 389.94 : x
  2. Step 2: Convert to fraction form
    945.38/1,418 = 389.94/x
  3. Step 3: Cross multiply
    945.38x = 1,418 × 389.94
  4. Step 4: Simplify right side
    945.38x = 552,934.92
  5. Step 5: Solve for x
    x = 552,934.92/945.38
  6. Step 6: Final answer
    x = 584.88

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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.