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Finding the Fourth Proportional to 1,783.42, 2,674.31 and 686.97

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Solution

The fourth proportional to 1,783.42, 2,674.31 and 686.97 is: 1,030.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.42 : 2,674.31 = 686.97 : x
  2. Step 2: Convert to fraction form
    1,783.42/2,674.31 = 686.97/x
  3. Step 3: Cross multiply
    1,783.42x = 2,674.31 × 686.97
  4. Step 4: Simplify right side
    1,783.42x = 1,837,167.31
  5. Step 5: Solve for x
    x = 1,837,167.31/1,783.42
  6. Step 6: Final answer
    x = 1,030.14

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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.