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Finding the Fourth Proportional to 1,201.51, 1,801.43 and 471.16

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Solution

The fourth proportional to 1,201.51, 1,801.43 and 471.16 is: 706.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.51 : 1,801.43 = 471.16 : x
  2. Step 2: Convert to fraction form
    1,201.51/1,801.43 = 471.16/x
  3. Step 3: Cross multiply
    1,201.51x = 1,801.43 × 471.16
  4. Step 4: Simplify right side
    1,201.51x = 848,750.40
  5. Step 5: Solve for x
    x = 848,750.40/1,201.51
  6. Step 6: Final answer
    x = 706.41

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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.