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Finding the Fourth Proportional to 741.74, 1,023.62 and 405.68

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Solution

The fourth proportional to 741.74, 1,023.62 and 405.68 is: 559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.74 : 1,023.62 = 405.68 : x
  2. Step 2: Convert to fraction form
    741.74/1,023.62 = 405.68/x
  3. Step 3: Cross multiply
    741.74x = 1,023.62 × 405.68
  4. Step 4: Simplify right side
    741.74x = 415,262.16
  5. Step 5: Solve for x
    x = 415,262.16/741.74
  6. Step 6: Final answer
    x = 559.85

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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.