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Finding the Fourth Proportional to 1,491.11, 2,237.69 and 613.67

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Solution

The fourth proportional to 1,491.11, 2,237.69 and 613.67 is: 920.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.11 : 2,237.69 = 613.67 : x
  2. Step 2: Convert to fraction form
    1,491.11/2,237.69 = 613.67/x
  3. Step 3: Cross multiply
    1,491.11x = 2,237.69 × 613.67
  4. Step 4: Simplify right side
    1,491.11x = 1,373,204.76
  5. Step 5: Solve for x
    x = 1,373,204.76/1,491.11
  6. Step 6: Final answer
    x = 920.93

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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.