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Finding the Fourth Proportional to 1,784.94, 2,677.82 and 689.62

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Solution

The fourth proportional to 1,784.94, 2,677.82 and 689.62 is: 1,034.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.94 : 2,677.82 = 689.62 : x
  2. Step 2: Convert to fraction form
    1,784.94/2,677.82 = 689.62/x
  3. Step 3: Cross multiply
    1,784.94x = 2,677.82 × 689.62
  4. Step 4: Simplify right side
    1,784.94x = 1,846,678.23
  5. Step 5: Solve for x
    x = 1,846,678.23/1,784.94
  6. Step 6: Final answer
    x = 1,034.59

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1.5x scale

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.