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Finding the Fourth Proportional to 1,262.97, 1,894.50 and 482.82

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Solution

The fourth proportional to 1,262.97, 1,894.50 and 482.82 is: 724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.97 : 1,894.50 = 482.82 : x
  2. Step 2: Convert to fraction form
    1,262.97/1,894.50 = 482.82/x
  3. Step 3: Cross multiply
    1,262.97x = 1,894.50 × 482.82
  4. Step 4: Simplify right side
    1,262.97x = 914,702.49
  5. Step 5: Solve for x
    x = 914,702.49/1,262.97
  6. Step 6: Final answer
    x = 724.25

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.