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Finding the Fourth Proportional to 1,690.35, 2,534.55 and 520.04

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Solution

The fourth proportional to 1,690.35, 2,534.55 and 520.04 is: 779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.35 : 2,534.55 = 520.04 : x
  2. Step 2: Convert to fraction form
    1,690.35/2,534.55 = 520.04/x
  3. Step 3: Cross multiply
    1,690.35x = 2,534.55 × 520.04
  4. Step 4: Simplify right side
    1,690.35x = 1,318,067.38
  5. Step 5: Solve for x
    x = 1,318,067.38/1,690.35
  6. Step 6: Final answer
    x = 779.76

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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.