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Finding the Fourth Proportional to 496.70, 686.11 and 373.29

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Solution

The fourth proportional to 496.70, 686.11 and 373.29 is: 515.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.70 : 686.11 = 373.29 : x
  2. Step 2: Convert to fraction form
    496.70/686.11 = 373.29/x
  3. Step 3: Cross multiply
    496.70x = 686.11 × 373.29
  4. Step 4: Simplify right side
    496.70x = 256,117.07
  5. Step 5: Solve for x
    x = 256,117.07/496.70
  6. Step 6: Final answer
    x = 515.64

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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.