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Finding the Fourth Proportional to 623.77, 855.20 and 614.21

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Solution

The fourth proportional to 623.77, 855.20 and 614.21 is: 842.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.77 : 855.20 = 614.21 : x
  2. Step 2: Convert to fraction form
    623.77/855.20 = 614.21/x
  3. Step 3: Cross multiply
    623.77x = 855.20 × 614.21
  4. Step 4: Simplify right side
    623.77x = 525,269.65
  5. Step 5: Solve for x
    x = 525,269.65/623.77
  6. Step 6: Final answer
    x = 842.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.