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Finding the Fourth Proportional to 496.76, 686.19 and 371.00

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Solution

The fourth proportional to 496.76, 686.19 and 371.00 is: 512.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.76 : 686.19 = 371.00 : x
  2. Step 2: Convert to fraction form
    496.76/686.19 = 371.00/x
  3. Step 3: Cross multiply
    496.76x = 686.19 × 371.00
  4. Step 4: Simplify right side
    496.76x = 254,573.06
  5. Step 5: Solve for x
    x = 254,573.06/496.76
  6. Step 6: Final answer
    x = 512.47

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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.