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Finding the Fourth Proportional to 613.71, 918.41 and 573.75

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Solution

The fourth proportional to 613.71, 918.41 and 573.75 is: 858.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.71 : 918.41 = 573.75 : x
  2. Step 2: Convert to fraction form
    613.71/918.41 = 573.75/x
  3. Step 3: Cross multiply
    613.71x = 918.41 × 573.75
  4. Step 4: Simplify right side
    613.71x = 526,934.87
  5. Step 5: Solve for x
    x = 526,934.87/613.71
  6. Step 6: Final answer
    x = 858.61

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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.