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Finding the Fourth Proportional to 943.96, 1,302.61 and 524.29

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Solution

The fourth proportional to 943.96, 1,302.61 and 524.29 is: 723.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.96 : 1,302.61 = 524.29 : x
  2. Step 2: Convert to fraction form
    943.96/1,302.61 = 524.29/x
  3. Step 3: Cross multiply
    943.96x = 1,302.61 × 524.29
  4. Step 4: Simplify right side
    943.96x = 682,948.85
  5. Step 5: Solve for x
    x = 682,948.85/943.96
  6. Step 6: Final answer
    x = 723.49

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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.