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Finding the Fourth Proportional to 966.12, 1,333.85 and 651.80

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Solution

The fourth proportional to 966.12, 1,333.85 and 651.80 is: 899.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.12 : 1,333.85 = 651.80 : x
  2. Step 2: Convert to fraction form
    966.12/1,333.85 = 651.80/x
  3. Step 3: Cross multiply
    966.12x = 1,333.85 × 651.80
  4. Step 4: Simplify right side
    966.12x = 869,393.50
  5. Step 5: Solve for x
    x = 869,393.50/966.12
  6. Step 6: Final answer
    x = 899.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.