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Finding the Fourth Proportional to 1,670.67, 2,505.78 and 696.63

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Solution

The fourth proportional to 1,670.67, 2,505.78 and 696.63 is: 1,044.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.67 : 2,505.78 = 696.63 : x
  2. Step 2: Convert to fraction form
    1,670.67/2,505.78 = 696.63/x
  3. Step 3: Cross multiply
    1,670.67x = 2,505.78 × 696.63
  4. Step 4: Simplify right side
    1,670.67x = 1,745,601.52
  5. Step 5: Solve for x
    x = 1,745,601.52/1,670.67
  6. Step 6: Final answer
    x = 1,044.85

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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.