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Finding the Fourth Proportional to 497.54, 685.67 and 357.41

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Solution

The fourth proportional to 497.54, 685.67 and 357.41 is: 492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.54 : 685.67 = 357.41 : x
  2. Step 2: Convert to fraction form
    497.54/685.67 = 357.41/x
  3. Step 3: Cross multiply
    497.54x = 685.67 × 357.41
  4. Step 4: Simplify right side
    497.54x = 245,065.24
  5. Step 5: Solve for x
    x = 245,065.24/497.54
  6. Step 6: Final answer
    x = 492.55

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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.