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Finding the Fourth Proportional to 1,240.76, 1,712.25 and 743.82

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Solution

The fourth proportional to 1,240.76, 1,712.25 and 743.82 is: 1,026.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.76 : 1,712.25 = 743.82 : x
  2. Step 2: Convert to fraction form
    1,240.76/1,712.25 = 743.82/x
  3. Step 3: Cross multiply
    1,240.76x = 1,712.25 × 743.82
  4. Step 4: Simplify right side
    1,240.76x = 1,273,605.80
  5. Step 5: Solve for x
    x = 1,273,605.80/1,240.76
  6. Step 6: Final answer
    x = 1,026.47

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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.