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Finding the Fourth Proportional to 497.55, 685.76 and 349.71

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Solution

The fourth proportional to 497.55, 685.76 and 349.71 is: 481.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.55 : 685.76 = 349.71 : x
  2. Step 2: Convert to fraction form
    497.55/685.76 = 349.71/x
  3. Step 3: Cross multiply
    497.55x = 685.76 × 349.71
  4. Step 4: Simplify right side
    497.55x = 239,815.38
  5. Step 5: Solve for x
    x = 239,815.38/497.55
  6. Step 6: Final answer
    x = 481.99

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1.5x scale

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.