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Finding the Fourth Proportional to 952.90, 1,427.36 and 489.28

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Solution

The fourth proportional to 952.90, 1,427.36 and 489.28 is: 732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.90 : 1,427.36 = 489.28 : x
  2. Step 2: Convert to fraction form
    952.90/1,427.36 = 489.28/x
  3. Step 3: Cross multiply
    952.90x = 1,427.36 × 489.28
  4. Step 4: Simplify right side
    952.90x = 698,378.70
  5. Step 5: Solve for x
    x = 698,378.70/952.90
  6. Step 6: Final answer
    x = 732.90

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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.