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Finding the Fourth Proportional to 613.27, 923.55 and 540.83

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Solution

The fourth proportional to 613.27, 923.55 and 540.83 is: 814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.27 : 923.55 = 540.83 : x
  2. Step 2: Convert to fraction form
    613.27/923.55 = 540.83/x
  3. Step 3: Cross multiply
    613.27x = 923.55 × 540.83
  4. Step 4: Simplify right side
    613.27x = 499,481.67
  5. Step 5: Solve for x
    x = 499,481.67/613.27
  6. Step 6: Final answer
    x = 814.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.