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Finding the Fourth Proportional to 1,690.38, 2,536.74 and 594.77

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Solution

The fourth proportional to 1,690.38, 2,536.74 and 594.77 is: 892.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.38 : 2,536.74 = 594.77 : x
  2. Step 2: Convert to fraction form
    1,690.38/2,536.74 = 594.77/x
  3. Step 3: Cross multiply
    1,690.38x = 2,536.74 × 594.77
  4. Step 4: Simplify right side
    1,690.38x = 1,508,764.17
  5. Step 5: Solve for x
    x = 1,508,764.17/1,690.38
  6. Step 6: Final answer
    x = 892.56

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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.