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Finding the Fourth Proportional to 1,201.65, 1,801.98 and 461.18

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Solution

The fourth proportional to 1,201.65, 1,801.98 and 461.18 is: 691.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.65 : 1,801.98 = 461.18 : x
  2. Step 2: Convert to fraction form
    1,201.65/1,801.98 = 461.18/x
  3. Step 3: Cross multiply
    1,201.65x = 1,801.98 × 461.18
  4. Step 4: Simplify right side
    1,201.65x = 831,028.13
  5. Step 5: Solve for x
    x = 831,028.13/1,201.65
  6. Step 6: Final answer
    x = 691.57

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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.