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Finding the Fourth Proportional to 620.65, 855.93 and 496.32

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Solution

The fourth proportional to 620.65, 855.93 and 496.32 is: 684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.65 : 855.93 = 496.32 : x
  2. Step 2: Convert to fraction form
    620.65/855.93 = 496.32/x
  3. Step 3: Cross multiply
    620.65x = 855.93 × 496.32
  4. Step 4: Simplify right side
    620.65x = 424,815.18
  5. Step 5: Solve for x
    x = 424,815.18/620.65
  6. Step 6: Final answer
    x = 684.47

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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.