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Finding the Fourth Proportional to 497.40, 685.98 and 366.72

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Solution

The fourth proportional to 497.40, 685.98 and 366.72 is: 505.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.40 : 685.98 = 366.72 : x
  2. Step 2: Convert to fraction form
    497.40/685.98 = 366.72/x
  3. Step 3: Cross multiply
    497.40x = 685.98 × 366.72
  4. Step 4: Simplify right side
    497.40x = 251,562.59
  5. Step 5: Solve for x
    x = 251,562.59/497.40
  6. Step 6: Final answer
    x = 505.76

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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.