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Finding the Fourth Proportional to 1,785.43, 2,678.37 and 690.76

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Solution

The fourth proportional to 1,785.43, 2,678.37 and 690.76 is: 1,036.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.43 : 2,678.37 = 690.76 : x
  2. Step 2: Convert to fraction form
    1,785.43/2,678.37 = 690.76/x
  3. Step 3: Cross multiply
    1,785.43x = 2,678.37 × 690.76
  4. Step 4: Simplify right side
    1,785.43x = 1,850,110.86
  5. Step 5: Solve for x
    x = 1,850,110.86/1,785.43
  6. Step 6: Final answer
    x = 1,036.23

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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.