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Finding the Fourth Proportional to 1,690.74, 2,535.71 and 857.55

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Solution

The fourth proportional to 1,690.74, 2,535.71 and 857.55 is: 1,286.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.74 : 2,535.71 = 857.55 : x
  2. Step 2: Convert to fraction form
    1,690.74/2,535.71 = 857.55/x
  3. Step 3: Cross multiply
    1,690.74x = 2,535.71 × 857.55
  4. Step 4: Simplify right side
    1,690.74x = 2,174,503.33
  5. Step 5: Solve for x
    x = 2,174,503.33/1,690.74
  6. Step 6: Final answer
    x = 1,286.13

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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.