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Finding the Fourth Proportional to 948.37, 1,422.57 and 461.32

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Solution

The fourth proportional to 948.37, 1,422.57 and 461.32 is: 691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.37 : 1,422.57 = 461.32 : x
  2. Step 2: Convert to fraction form
    948.37/1,422.57 = 461.32/x
  3. Step 3: Cross multiply
    948.37x = 1,422.57 × 461.32
  4. Step 4: Simplify right side
    948.37x = 656,259.99
  5. Step 5: Solve for x
    x = 656,259.99/948.37
  6. Step 6: Final answer
    x = 691.99

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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.