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Finding the Fourth Proportional to 955.22, 1,432.31 and 492.81

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Solution

The fourth proportional to 955.22, 1,432.31 and 492.81 is: 738.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.22 : 1,432.31 = 492.81 : x
  2. Step 2: Convert to fraction form
    955.22/1,432.31 = 492.81/x
  3. Step 3: Cross multiply
    955.22x = 1,432.31 × 492.81
  4. Step 4: Simplify right side
    955.22x = 705,854.23
  5. Step 5: Solve for x
    x = 705,854.23/955.22
  6. Step 6: Final answer
    x = 738.95

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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.