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Finding the Fourth Proportional to 1,227.12, 1,840.56 and 349.68

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Solution

The fourth proportional to 1,227.12, 1,840.56 and 349.68 is: 524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.12 : 1,840.56 = 349.68 : x
  2. Step 2: Convert to fraction form
    1,227.12/1,840.56 = 349.68/x
  3. Step 3: Cross multiply
    1,227.12x = 1,840.56 × 349.68
  4. Step 4: Simplify right side
    1,227.12x = 643,607.02
  5. Step 5: Solve for x
    x = 643,607.02/1,227.12
  6. Step 6: Final answer
    x = 524.49

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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.