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Finding the Fourth Proportional to 869.08, 1,302.21 and 846.31

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Solution

The fourth proportional to 869.08, 1,302.21 and 846.31 is: 1,268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.08 : 1,302.21 = 846.31 : x
  2. Step 2: Convert to fraction form
    869.08/1,302.21 = 846.31/x
  3. Step 3: Cross multiply
    869.08x = 1,302.21 × 846.31
  4. Step 4: Simplify right side
    869.08x = 1,102,073.35
  5. Step 5: Solve for x
    x = 1,102,073.35/869.08
  6. Step 6: Final answer
    x = 1,268.09

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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.