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Finding the Fourth Proportional to 1,259.36, 1,887.39 and 642.54

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Solution

The fourth proportional to 1,259.36, 1,887.39 and 642.54 is: 962.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.36 : 1,887.39 = 642.54 : x
  2. Step 2: Convert to fraction form
    1,259.36/1,887.39 = 642.54/x
  3. Step 3: Cross multiply
    1,259.36x = 1,887.39 × 642.54
  4. Step 4: Simplify right side
    1,259.36x = 1,212,723.57
  5. Step 5: Solve for x
    x = 1,212,723.57/1,259.36
  6. Step 6: Final answer
    x = 962.97

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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.