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Finding the Fourth Proportional to 943.34, 1,412.46 and 531.86

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Solution

The fourth proportional to 943.34, 1,412.46 and 531.86 is: 796.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.34 : 1,412.46 = 531.86 : x
  2. Step 2: Convert to fraction form
    943.34/1,412.46 = 531.86/x
  3. Step 3: Cross multiply
    943.34x = 1,412.46 × 531.86
  4. Step 4: Simplify right side
    943.34x = 751,223.91
  5. Step 5: Solve for x
    x = 751,223.91/943.34
  6. Step 6: Final answer
    x = 796.35

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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.