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Finding the Fourth Proportional to 613.59, 920.19 and 474.67

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Solution

The fourth proportional to 613.59, 920.19 and 474.67 is: 711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.59 : 920.19 = 474.67 : x
  2. Step 2: Convert to fraction form
    613.59/920.19 = 474.67/x
  3. Step 3: Cross multiply
    613.59x = 920.19 × 474.67
  4. Step 4: Simplify right side
    613.59x = 436,789.52
  5. Step 5: Solve for x
    x = 436,789.52/613.59
  6. Step 6: Final answer
    x = 711.86

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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.