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Finding the Fourth Proportional to 620.42, 855.90 and 410.30

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Solution

The fourth proportional to 620.42, 855.90 and 410.30 is: 566.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.42 : 855.90 = 410.30 : x
  2. Step 2: Convert to fraction form
    620.42/855.90 = 410.30/x
  3. Step 3: Cross multiply
    620.42x = 855.90 × 410.30
  4. Step 4: Simplify right side
    620.42x = 351,175.77
  5. Step 5: Solve for x
    x = 351,175.77/620.42
  6. Step 6: Final answer
    x = 566.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.