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Finding the Fourth Proportional to 943.88, 1,416.71 and 395.91

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Solution

The fourth proportional to 943.88, 1,416.71 and 395.91 is: 594.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.88 : 1,416.71 = 395.91 : x
  2. Step 2: Convert to fraction form
    943.88/1,416.71 = 395.91/x
  3. Step 3: Cross multiply
    943.88x = 1,416.71 × 395.91
  4. Step 4: Simplify right side
    943.88x = 560,890.65
  5. Step 5: Solve for x
    x = 560,890.65/943.88
  6. Step 6: Final answer
    x = 594.24

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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.