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Finding the Fourth Proportional to 1,259.65, 1,899.14 and 1,174.95

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Solution

The fourth proportional to 1,259.65, 1,899.14 and 1,174.95 is: 1,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.65 : 1,899.14 = 1,174.95 : x
  2. Step 2: Convert to fraction form
    1,259.65/1,899.14 = 1,174.95/x
  3. Step 3: Cross multiply
    1,259.65x = 1,899.14 × 1,174.95
  4. Step 4: Simplify right side
    1,259.65x = 2,231,379.17
  5. Step 5: Solve for x
    x = 2,231,379.17/1,259.65
  6. Step 6: Final answer
    x = 1,771.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.