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Finding the Fourth Proportional to 1,726.75, 2,380.48 and 1,230.63

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Solution

The fourth proportional to 1,726.75, 2,380.48 and 1,230.63 is: 1,696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.75 : 2,380.48 = 1,230.63 : x
  2. Step 2: Convert to fraction form
    1,726.75/2,380.48 = 1,230.63/x
  3. Step 3: Cross multiply
    1,726.75x = 2,380.48 × 1,230.63
  4. Step 4: Simplify right side
    1,726.75x = 2,929,490.10
  5. Step 5: Solve for x
    x = 2,929,490.10/1,726.75
  6. Step 6: Final answer
    x = 1,696.53

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Half scale
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Double scale
Find fourth proportional to 1,727.75, 2,381.86 and 1,231.63
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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.