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Finding the Fourth Proportional to 869.21, 1,304.68 and 771.02

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Solution

The fourth proportional to 869.21, 1,304.68 and 771.02 is: 1,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.21 : 1,304.68 = 771.02 : x
  2. Step 2: Convert to fraction form
    869.21/1,304.68 = 771.02/x
  3. Step 3: Cross multiply
    869.21x = 1,304.68 × 771.02
  4. Step 4: Simplify right side
    869.21x = 1,005,933.04
  5. Step 5: Solve for x
    x = 1,005,933.04/869.21
  6. Step 6: Final answer
    x = 1,157.30

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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.