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Finding the Fourth Proportional to 1,491.97, 2,237.46 and 517.84

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Solution

The fourth proportional to 1,491.97, 2,237.46 and 517.84 is: 776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.97 : 2,237.46 = 517.84 : x
  2. Step 2: Convert to fraction form
    1,491.97/2,237.46 = 517.84/x
  3. Step 3: Cross multiply
    1,491.97x = 2,237.46 × 517.84
  4. Step 4: Simplify right side
    1,491.97x = 1,158,646.29
  5. Step 5: Solve for x
    x = 1,158,646.29/1,491.97
  6. Step 6: Final answer
    x = 776.59

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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.