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Finding the Fourth Proportional to 1,221.90, 1,832.65 and 356.01

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Solution

The fourth proportional to 1,221.90, 1,832.65 and 356.01 is: 533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.90 : 1,832.65 = 356.01 : x
  2. Step 2: Convert to fraction form
    1,221.90/1,832.65 = 356.01/x
  3. Step 3: Cross multiply
    1,221.90x = 1,832.65 × 356.01
  4. Step 4: Simplify right side
    1,221.90x = 652,439.95
  5. Step 5: Solve for x
    x = 652,439.95/1,221.90
  6. Step 6: Final answer
    x = 533.96

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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.