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Finding the Fourth Proportional to 1,201.49, 1,802.25 and 471.09

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Solution

The fourth proportional to 1,201.49, 1,802.25 and 471.09 is: 706.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.49 : 1,802.25 = 471.09 : x
  2. Step 2: Convert to fraction form
    1,201.49/1,802.25 = 471.09/x
  3. Step 3: Cross multiply
    1,201.49x = 1,802.25 × 471.09
  4. Step 4: Simplify right side
    1,201.49x = 849,021.95
  5. Step 5: Solve for x
    x = 849,021.95/1,201.49
  6. Step 6: Final answer
    x = 706.64

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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.