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Finding the Fourth Proportional to 872.19, 1,308.96 and 461.43

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Solution

The fourth proportional to 872.19, 1,308.96 and 461.43 is: 692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.19 : 1,308.96 = 461.43 : x
  2. Step 2: Convert to fraction form
    872.19/1,308.96 = 461.43/x
  3. Step 3: Cross multiply
    872.19x = 1,308.96 × 461.43
  4. Step 4: Simplify right side
    872.19x = 603,993.41
  5. Step 5: Solve for x
    x = 603,993.41/872.19
  6. Step 6: Final answer
    x = 692.50

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1.5x scale

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.