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Finding the Fourth Proportional to 948.30, 1,422.88 and 428.02

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Solution

The fourth proportional to 948.30, 1,422.88 and 428.02 is: 642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.30 : 1,422.88 = 428.02 : x
  2. Step 2: Convert to fraction form
    948.30/1,422.88 = 428.02/x
  3. Step 3: Cross multiply
    948.30x = 1,422.88 × 428.02
  4. Step 4: Simplify right side
    948.30x = 609,021.10
  5. Step 5: Solve for x
    x = 609,021.10/948.30
  6. Step 6: Final answer
    x = 642.22

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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.