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Finding the Fourth Proportional to 497.71, 686.37 and 366.76

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Solution

The fourth proportional to 497.71, 686.37 and 366.76 is: 505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.71 : 686.37 = 366.76 : x
  2. Step 2: Convert to fraction form
    497.71/686.37 = 366.76/x
  3. Step 3: Cross multiply
    497.71x = 686.37 × 366.76
  4. Step 4: Simplify right side
    497.71x = 251,733.06
  5. Step 5: Solve for x
    x = 251,733.06/497.71
  6. Step 6: Final answer
    x = 505.78

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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.