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Finding the Fourth Proportional to 955.68, 1,432.09 and 544.94

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Solution

The fourth proportional to 955.68, 1,432.09 and 544.94 is: 816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.68 : 1,432.09 = 544.94 : x
  2. Step 2: Convert to fraction form
    955.68/1,432.09 = 544.94/x
  3. Step 3: Cross multiply
    955.68x = 1,432.09 × 544.94
  4. Step 4: Simplify right side
    955.68x = 780,403.12
  5. Step 5: Solve for x
    x = 780,403.12/955.68
  6. Step 6: Final answer
    x = 816.59

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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.