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Finding the Fourth Proportional to 1,264.89, 1,896.42 and 853.01

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Solution

The fourth proportional to 1,264.89, 1,896.42 and 853.01 is: 1,278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.89 : 1,896.42 = 853.01 : x
  2. Step 2: Convert to fraction form
    1,264.89/1,896.42 = 853.01/x
  3. Step 3: Cross multiply
    1,264.89x = 1,896.42 × 853.01
  4. Step 4: Simplify right side
    1,264.89x = 1,617,655.74
  5. Step 5: Solve for x
    x = 1,617,655.74/1,264.89
  6. Step 6: Final answer
    x = 1,278.89

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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.