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Finding the Fourth Proportional to 1,342.77, 1,853.48 and 811.95

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Solution

The fourth proportional to 1,342.77, 1,853.48 and 811.95 is: 1,120.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.77 : 1,853.48 = 811.95 : x
  2. Step 2: Convert to fraction form
    1,342.77/1,853.48 = 811.95/x
  3. Step 3: Cross multiply
    1,342.77x = 1,853.48 × 811.95
  4. Step 4: Simplify right side
    1,342.77x = 1,504,919.76
  5. Step 5: Solve for x
    x = 1,504,919.76/1,342.77
  6. Step 6: Final answer
    x = 1,120.76

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Find fourth proportional to 671.38, 926.74 and 405.97
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.