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Finding the Fourth Proportional to 613.36, 911.72 and 596.76

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Solution

The fourth proportional to 613.36, 911.72 and 596.76 is: 887.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.36 : 911.72 = 596.76 : x
  2. Step 2: Convert to fraction form
    613.36/911.72 = 596.76/x
  3. Step 3: Cross multiply
    613.36x = 911.72 × 596.76
  4. Step 4: Simplify right side
    613.36x = 544,078.03
  5. Step 5: Solve for x
    x = 544,078.03/613.36
  6. Step 6: Final answer
    x = 887.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.