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Finding the Fourth Proportional to 949.06, 1,422.33 and 428.50

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Solution

The fourth proportional to 949.06, 1,422.33 and 428.50 is: 642.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.06 : 1,422.33 = 428.50 : x
  2. Step 2: Convert to fraction form
    949.06/1,422.33 = 428.50/x
  3. Step 3: Cross multiply
    949.06x = 1,422.33 × 428.50
  4. Step 4: Simplify right side
    949.06x = 609,468.41
  5. Step 5: Solve for x
    x = 609,468.41/949.06
  6. Step 6: Final answer
    x = 642.18

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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.