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Finding the Fourth Proportional to 948.28, 1,422.40 and 400.18

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Solution

The fourth proportional to 948.28, 1,422.40 and 400.18 is: 600.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.28 : 1,422.40 = 400.18 : x
  2. Step 2: Convert to fraction form
    948.28/1,422.40 = 400.18/x
  3. Step 3: Cross multiply
    948.28x = 1,422.40 × 400.18
  4. Step 4: Simplify right side
    948.28x = 569,216.03
  5. Step 5: Solve for x
    x = 569,216.03/948.28
  6. Step 6: Final answer
    x = 600.26

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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.