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Finding the Fourth Proportional to 952.04, 1,427.01 and 489.17

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Solution

The fourth proportional to 952.04, 1,427.01 and 489.17 is: 733.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.04 : 1,427.01 = 489.17 : x
  2. Step 2: Convert to fraction form
    952.04/1,427.01 = 489.17/x
  3. Step 3: Cross multiply
    952.04x = 1,427.01 × 489.17
  4. Step 4: Simplify right side
    952.04x = 698,043.35
  5. Step 5: Solve for x
    x = 698,043.35/952.04
  6. Step 6: Final answer
    x = 733.21

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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.