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Finding the Fourth Proportional to 2,056.68, 3,085.02 and 689.64

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Solution

The fourth proportional to 2,056.68, 3,085.02 and 689.64 is: 1,034.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.68 : 3,085.02 = 689.64 : x
  2. Step 2: Convert to fraction form
    2,056.68/3,085.02 = 689.64/x
  3. Step 3: Cross multiply
    2,056.68x = 3,085.02 × 689.64
  4. Step 4: Simplify right side
    2,056.68x = 2,127,553.19
  5. Step 5: Solve for x
    x = 2,127,553.19/2,056.68
  6. Step 6: Final answer
    x = 1,034.46

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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.