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Finding the Fourth Proportional to 834.19, 1,250.59 and 486.66

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Solution

The fourth proportional to 834.19, 1,250.59 and 486.66 is: 729.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.19 : 1,250.59 = 486.66 : x
  2. Step 2: Convert to fraction form
    834.19/1,250.59 = 486.66/x
  3. Step 3: Cross multiply
    834.19x = 1,250.59 × 486.66
  4. Step 4: Simplify right side
    834.19x = 608,612.13
  5. Step 5: Solve for x
    x = 608,612.13/834.19
  6. Step 6: Final answer
    x = 729.58

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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.