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Finding the Fourth Proportional to 1,201.72, 1,802.13 and 421.49

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Solution

The fourth proportional to 1,201.72, 1,802.13 and 421.49 is: 632.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.72 : 1,802.13 = 421.49 : x
  2. Step 2: Convert to fraction form
    1,201.72/1,802.13 = 421.49/x
  3. Step 3: Cross multiply
    1,201.72x = 1,802.13 × 421.49
  4. Step 4: Simplify right side
    1,201.72x = 759,579.77
  5. Step 5: Solve for x
    x = 759,579.77/1,201.72
  6. Step 6: Final answer
    x = 632.08

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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.