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Finding the Fourth Proportional to 948.64, 1,422.15 and 363.31

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Solution

The fourth proportional to 948.64, 1,422.15 and 363.31 is: 544.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.64 : 1,422.15 = 363.31 : x
  2. Step 2: Convert to fraction form
    948.64/1,422.15 = 363.31/x
  3. Step 3: Cross multiply
    948.64x = 1,422.15 × 363.31
  4. Step 4: Simplify right side
    948.64x = 516,681.32
  5. Step 5: Solve for x
    x = 516,681.32/948.64
  6. Step 6: Final answer
    x = 544.65

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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.