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Finding the Fourth Proportional to 1,491.56, 2,237.68 and 517.64

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Solution

The fourth proportional to 1,491.56, 2,237.68 and 517.64 is: 776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.56 : 2,237.68 = 517.64 : x
  2. Step 2: Convert to fraction form
    1,491.56/2,237.68 = 517.64/x
  3. Step 3: Cross multiply
    1,491.56x = 2,237.68 × 517.64
  4. Step 4: Simplify right side
    1,491.56x = 1,158,311.81
  5. Step 5: Solve for x
    x = 1,158,311.81/1,491.56
  6. Step 6: Final answer
    x = 776.58

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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.