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Finding the Fourth Proportional to 1,250.75, 1,726.44 and 785

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Solution

The fourth proportional to 1,250.75, 1,726.44 and 785 is: 1,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.75 : 1,726.44 = 785 : x
  2. Step 2: Convert to fraction form
    1,250.75/1,726.44 = 785/x
  3. Step 3: Cross multiply
    1,250.75x = 1,726.44 × 785
  4. Step 4: Simplify right side
    1,250.75x = 1,355,255.40
  5. Step 5: Solve for x
    x = 1,355,255.40/1,250.75
  6. Step 6: Final answer
    x = 1,083.55

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Find fourth proportional to 625.38, 863.22 and 392.50
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.