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Finding the Fourth Proportional to 741.84, 1,023.74 and 405.75

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Solution

The fourth proportional to 741.84, 1,023.74 and 405.75 is: 559.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.84 : 1,023.74 = 405.75 : x
  2. Step 2: Convert to fraction form
    741.84/1,023.74 = 405.75/x
  3. Step 3: Cross multiply
    741.84x = 1,023.74 × 405.75
  4. Step 4: Simplify right side
    741.84x = 415,378.93
  5. Step 5: Solve for x
    x = 415,378.93/741.84
  6. Step 6: Final answer
    x = 559.93

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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.