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Finding the Fourth Proportional to 943.85, 1,416.49 and 930.29

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Solution

The fourth proportional to 943.85, 1,416.49 and 930.29 is: 1,396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.85 : 1,416.49 = 930.29 : x
  2. Step 2: Convert to fraction form
    943.85/1,416.49 = 930.29/x
  3. Step 3: Cross multiply
    943.85x = 1,416.49 × 930.29
  4. Step 4: Simplify right side
    943.85x = 1,317,737.07
  5. Step 5: Solve for x
    x = 1,317,737.07/943.85
  6. Step 6: Final answer
    x = 1,396.13

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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.