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Finding the Fourth Proportional to 741.69, 1,111.05 and 345.84

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Solution

The fourth proportional to 741.69, 1,111.05 and 345.84 is: 518.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.69 : 1,111.05 = 345.84 : x
  2. Step 2: Convert to fraction form
    741.69/1,111.05 = 345.84/x
  3. Step 3: Cross multiply
    741.69x = 1,111.05 × 345.84
  4. Step 4: Simplify right side
    741.69x = 384,241.37
  5. Step 5: Solve for x
    x = 384,241.37/741.69
  6. Step 6: Final answer
    x = 518.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.