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Finding the Fourth Proportional to 939.95, 1,409.52 and 675.89

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Solution

The fourth proportional to 939.95, 1,409.52 and 675.89 is: 1,013.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.95 : 1,409.52 = 675.89 : x
  2. Step 2: Convert to fraction form
    939.95/1,409.52 = 675.89/x
  3. Step 3: Cross multiply
    939.95x = 1,409.52 × 675.89
  4. Step 4: Simplify right side
    939.95x = 952,680.47
  5. Step 5: Solve for x
    x = 952,680.47/939.95
  6. Step 6: Final answer
    x = 1,013.54

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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.