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Finding the Fourth Proportional to 623.56, 866.14 and 613.62

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Solution

The fourth proportional to 623.56, 866.14 and 613.62 is: 852.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.56 : 866.14 = 613.62 : x
  2. Step 2: Convert to fraction form
    623.56/866.14 = 613.62/x
  3. Step 3: Cross multiply
    623.56x = 866.14 × 613.62
  4. Step 4: Simplify right side
    623.56x = 531,480.83
  5. Step 5: Solve for x
    x = 531,480.83/623.56
  6. Step 6: Final answer
    x = 852.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.