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Finding the Fourth Proportional to 1,219.25, 1,681.22 and 825.59

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Solution

The fourth proportional to 1,219.25, 1,681.22 and 825.59 is: 1,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.25 : 1,681.22 = 825.59 : x
  2. Step 2: Convert to fraction form
    1,219.25/1,681.22 = 825.59/x
  3. Step 3: Cross multiply
    1,219.25x = 1,681.22 × 825.59
  4. Step 4: Simplify right side
    1,219.25x = 1,387,985.89
  5. Step 5: Solve for x
    x = 1,387,985.89/1,219.25
  6. Step 6: Final answer
    x = 1,138.40

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.