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Finding the Fourth Proportional to 948.66, 1,422.84 and 428.52

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Solution

The fourth proportional to 948.66, 1,422.84 and 428.52 is: 642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.66 : 1,422.84 = 428.52 : x
  2. Step 2: Convert to fraction form
    948.66/1,422.84 = 428.52/x
  3. Step 3: Cross multiply
    948.66x = 1,422.84 × 428.52
  4. Step 4: Simplify right side
    948.66x = 609,715.40
  5. Step 5: Solve for x
    x = 609,715.40/948.66
  6. Step 6: Final answer
    x = 642.71

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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.