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Finding the Fourth Proportional to 834.23, 1,250.16 and 464.21

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Solution

The fourth proportional to 834.23, 1,250.16 and 464.21 is: 695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.23 : 1,250.16 = 464.21 : x
  2. Step 2: Convert to fraction form
    834.23/1,250.16 = 464.21/x
  3. Step 3: Cross multiply
    834.23x = 1,250.16 × 464.21
  4. Step 4: Simplify right side
    834.23x = 580,336.77
  5. Step 5: Solve for x
    x = 580,336.77/834.23
  6. Step 6: Final answer
    x = 695.66

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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.