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Finding the Fourth Proportional to 613.11, 914.65 and 596.37

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Solution

The fourth proportional to 613.11, 914.65 and 596.37 is: 889.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.11 : 914.65 = 596.37 : x
  2. Step 2: Convert to fraction form
    613.11/914.65 = 596.37/x
  3. Step 3: Cross multiply
    613.11x = 914.65 × 596.37
  4. Step 4: Simplify right side
    613.11x = 545,471.76
  5. Step 5: Solve for x
    x = 545,471.76/613.11
  6. Step 6: Final answer
    x = 889.67

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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.