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Finding the Fourth Proportional to 869.21, 1,198.63 and 520.10

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Solution

The fourth proportional to 869.21, 1,198.63 and 520.10 is: 717.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.21 : 1,198.63 = 520.10 : x
  2. Step 2: Convert to fraction form
    869.21/1,198.63 = 520.10/x
  3. Step 3: Cross multiply
    869.21x = 1,198.63 × 520.10
  4. Step 4: Simplify right side
    869.21x = 623,407.46
  5. Step 5: Solve for x
    x = 623,407.46/869.21
  6. Step 6: Final answer
    x = 717.21

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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.