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Finding the Fourth Proportional to 966.40, 1,447.47 and 600.41

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Solution

The fourth proportional to 966.40, 1,447.47 and 600.41 is: 899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.40 : 1,447.47 = 600.41 : x
  2. Step 2: Convert to fraction form
    966.40/1,447.47 = 600.41/x
  3. Step 3: Cross multiply
    966.40x = 1,447.47 × 600.41
  4. Step 4: Simplify right side
    966.40x = 869,079.08
  5. Step 5: Solve for x
    x = 869,079.08/966.40
  6. Step 6: Final answer
    x = 899.30

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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.