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Finding the Fourth Proportional to 1,690.70, 2,535.95 and 520.65

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Solution

The fourth proportional to 1,690.70, 2,535.95 and 520.65 is: 780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.70 : 2,535.95 = 520.65 : x
  2. Step 2: Convert to fraction form
    1,690.70/2,535.95 = 520.65/x
  3. Step 3: Cross multiply
    1,690.70x = 2,535.95 × 520.65
  4. Step 4: Simplify right side
    1,690.70x = 1,320,339.76
  5. Step 5: Solve for x
    x = 1,320,339.76/1,690.70
  6. Step 6: Final answer
    x = 780.94

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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.