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Finding the Fourth Proportional to 1,344.24, 2,015.76 and 613.68

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Solution

The fourth proportional to 1,344.24, 2,015.76 and 613.68 is: 920.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.24 : 2,015.76 = 613.68 : x
  2. Step 2: Convert to fraction form
    1,344.24/2,015.76 = 613.68/x
  3. Step 3: Cross multiply
    1,344.24x = 2,015.76 × 613.68
  4. Step 4: Simplify right side
    1,344.24x = 1,237,031.60
  5. Step 5: Solve for x
    x = 1,237,031.60/1,344.24
  6. Step 6: Final answer
    x = 920.25

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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.