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Finding the Fourth Proportional to 837.70, 1,257.61 and 530.84

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Solution

The fourth proportional to 837.70, 1,257.61 and 530.84 is: 796.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.70 : 1,257.61 = 530.84 : x
  2. Step 2: Convert to fraction form
    837.70/1,257.61 = 530.84/x
  3. Step 3: Cross multiply
    837.70x = 1,257.61 × 530.84
  4. Step 4: Simplify right side
    837.70x = 667,589.69
  5. Step 5: Solve for x
    x = 667,589.69/837.70
  6. Step 6: Final answer
    x = 796.93

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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.