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Finding the Fourth Proportional to 2,333.32, 3,499.08 and 689.35

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Solution

The fourth proportional to 2,333.32, 3,499.08 and 689.35 is: 1,033.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.32 : 3,499.08 = 689.35 : x
  2. Step 2: Convert to fraction form
    2,333.32/3,499.08 = 689.35/x
  3. Step 3: Cross multiply
    2,333.32x = 3,499.08 × 689.35
  4. Step 4: Simplify right side
    2,333.32x = 2,412,090.80
  5. Step 5: Solve for x
    x = 2,412,090.80/2,333.32
  6. Step 6: Final answer
    x = 1,033.76

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