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Finding the Fourth Proportional to 496.73, 740.27 and 460.69

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Solution

The fourth proportional to 496.73, 740.27 and 460.69 is: 686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.73 : 740.27 = 460.69 : x
  2. Step 2: Convert to fraction form
    496.73/740.27 = 460.69/x
  3. Step 3: Cross multiply
    496.73x = 740.27 × 460.69
  4. Step 4: Simplify right side
    496.73x = 341,034.29
  5. Step 5: Solve for x
    x = 341,034.29/496.73
  6. Step 6: Final answer
    x = 686.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.