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Finding the Fourth Proportional to 930.02, 1,283.09 and 531.72

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Solution

The fourth proportional to 930.02, 1,283.09 and 531.72 is: 733.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.02 : 1,283.09 = 531.72 : x
  2. Step 2: Convert to fraction form
    930.02/1,283.09 = 531.72/x
  3. Step 3: Cross multiply
    930.02x = 1,283.09 × 531.72
  4. Step 4: Simplify right side
    930.02x = 682,241.96
  5. Step 5: Solve for x
    x = 682,241.96/930.02
  6. Step 6: Final answer
    x = 733.58

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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.