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Finding the Fourth Proportional to 496.83, 741.90 and 405.70

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Solution

The fourth proportional to 496.83, 741.90 and 405.70 is: 605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.83 : 741.90 = 405.70 : x
  2. Step 2: Convert to fraction form
    496.83/741.90 = 405.70/x
  3. Step 3: Cross multiply
    496.83x = 741.90 × 405.70
  4. Step 4: Simplify right side
    496.83x = 300,988.66
  5. Step 5: Solve for x
    x = 300,988.66/496.83
  6. Step 6: Final answer
    x = 605.82

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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.