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Finding the Fourth Proportional to 955.41, 1,432.31 and 589.43

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Solution

The fourth proportional to 955.41, 1,432.31 and 589.43 is: 883.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.41 : 1,432.31 = 589.43 : x
  2. Step 2: Convert to fraction form
    955.41/1,432.31 = 589.43/x
  3. Step 3: Cross multiply
    955.41x = 1,432.31 × 589.43
  4. Step 4: Simplify right side
    955.41x = 844,236.37
  5. Step 5: Solve for x
    x = 844,236.37/955.41
  6. Step 6: Final answer
    x = 883.64

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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.