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Finding the Fourth Proportional to 950.93, 1,427.70 and 489.07

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Solution

The fourth proportional to 950.93, 1,427.70 and 489.07 is: 734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.93 : 1,427.70 = 489.07 : x
  2. Step 2: Convert to fraction form
    950.93/1,427.70 = 489.07/x
  3. Step 3: Cross multiply
    950.93x = 1,427.70 × 489.07
  4. Step 4: Simplify right side
    950.93x = 698,245.24
  5. Step 5: Solve for x
    x = 698,245.24/950.93
  6. Step 6: Final answer
    x = 734.28

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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.