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Finding the Fourth Proportional to 1,770.37, 2,440.81 and 1,139.77

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Solution

The fourth proportional to 1,770.37, 2,440.81 and 1,139.77 is: 1,571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.37 : 2,440.81 = 1,139.77 : x
  2. Step 2: Convert to fraction form
    1,770.37/2,440.81 = 1,139.77/x
  3. Step 3: Cross multiply
    1,770.37x = 2,440.81 × 1,139.77
  4. Step 4: Simplify right side
    1,770.37x = 2,781,962.01
  5. Step 5: Solve for x
    x = 2,781,962.01/1,770.37
  6. Step 6: Final answer
    x = 1,571.40

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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.