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Finding the Fourth Proportional to 1,291.39, 1,936.62 and 560.79

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Solution

The fourth proportional to 1,291.39, 1,936.62 and 560.79 is: 840.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.39 : 1,936.62 = 560.79 : x
  2. Step 2: Convert to fraction form
    1,291.39/1,936.62 = 560.79/x
  3. Step 3: Cross multiply
    1,291.39x = 1,936.62 × 560.79
  4. Step 4: Simplify right side
    1,291.39x = 1,086,037.13
  5. Step 5: Solve for x
    x = 1,086,037.13/1,291.39
  6. Step 6: Final answer
    x = 840.98

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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.