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Finding the Fourth Proportional to 1,238.76, 1,709.10 and 766.73

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Solution

The fourth proportional to 1,238.76, 1,709.10 and 766.73 is: 1,057.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.76 : 1,709.10 = 766.73 : x
  2. Step 2: Convert to fraction form
    1,238.76/1,709.10 = 766.73/x
  3. Step 3: Cross multiply
    1,238.76x = 1,709.10 × 766.73
  4. Step 4: Simplify right side
    1,238.76x = 1,310,422.52
  5. Step 5: Solve for x
    x = 1,310,422.52/1,238.76
  6. Step 6: Final answer
    x = 1,057.85

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Find fourth proportional to 619.38, 854.55 and 383.37
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.