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Finding the Fourth Proportional to 621.60, 857.75 and 359.56

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Solution

The fourth proportional to 621.60, 857.75 and 359.56 is: 496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.60 : 857.75 = 359.56 : x
  2. Step 2: Convert to fraction form
    621.60/857.75 = 359.56/x
  3. Step 3: Cross multiply
    621.60x = 857.75 × 359.56
  4. Step 4: Simplify right side
    621.60x = 308,412.59
  5. Step 5: Solve for x
    x = 308,412.59/621.60
  6. Step 6: Final answer
    x = 496.16

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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.