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Finding the Fourth Proportional to 930.90, 1,285.08 and 537.85

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Solution

The fourth proportional to 930.90, 1,285.08 and 537.85 is: 742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.90 : 1,285.08 = 537.85 : x
  2. Step 2: Convert to fraction form
    930.90/1,285.08 = 537.85/x
  3. Step 3: Cross multiply
    930.90x = 1,285.08 × 537.85
  4. Step 4: Simplify right side
    930.90x = 691,182.70
  5. Step 5: Solve for x
    x = 691,182.70/930.90
  6. Step 6: Final answer
    x = 742.49

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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.