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Finding the Fourth Proportional to 2,334, 3,499.77 and 690.33

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Solution

The fourth proportional to 2,334, 3,499.77 and 690.33 is: 1,035.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334 : 3,499.77 = 690.33 : x
  2. Step 2: Convert to fraction form
    2,334/3,499.77 = 690.33/x
  3. Step 3: Cross multiply
    2,334x = 3,499.77 × 690.33
  4. Step 4: Simplify right side
    2,334x = 2,415,996.22
  5. Step 5: Solve for x
    x = 2,415,996.22/2,334
  6. Step 6: Final answer
    x = 1,035.13

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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.