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Finding the Fourth Proportional to 1,140.22, 1,571.18 and 786.25

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Solution

The fourth proportional to 1,140.22, 1,571.18 and 786.25 is: 1,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.22 : 1,571.18 = 786.25 : x
  2. Step 2: Convert to fraction form
    1,140.22/1,571.18 = 786.25/x
  3. Step 3: Cross multiply
    1,140.22x = 1,571.18 × 786.25
  4. Step 4: Simplify right side
    1,140.22x = 1,235,342.73
  5. Step 5: Solve for x
    x = 1,235,342.73/1,140.22
  6. Step 6: Final answer
    x = 1,083.42

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.