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Finding the Fourth Proportional to 620.07, 855.68 and 340.31

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Solution

The fourth proportional to 620.07, 855.68 and 340.31 is: 469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.07 : 855.68 = 340.31 : x
  2. Step 2: Convert to fraction form
    620.07/855.68 = 340.31/x
  3. Step 3: Cross multiply
    620.07x = 855.68 × 340.31
  4. Step 4: Simplify right side
    620.07x = 291,193.03
  5. Step 5: Solve for x
    x = 291,193.03/620.07
  6. Step 6: Final answer
    x = 469.61

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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.