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Finding the Fourth Proportional to 496.09, 685.46 and 478.57

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Solution

The fourth proportional to 496.09, 685.46 and 478.57 is: 661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.09 : 685.46 = 478.57 : x
  2. Step 2: Convert to fraction form
    496.09/685.46 = 478.57/x
  3. Step 3: Cross multiply
    496.09x = 685.46 × 478.57
  4. Step 4: Simplify right side
    496.09x = 328,038.20
  5. Step 5: Solve for x
    x = 328,038.20/496.09
  6. Step 6: Final answer
    x = 661.25

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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.