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Finding the Fourth Proportional to 1,201.31, 1,656.98 and 847.98

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Solution

The fourth proportional to 1,201.31, 1,656.98 and 847.98 is: 1,169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.31 : 1,656.98 = 847.98 : x
  2. Step 2: Convert to fraction form
    1,201.31/1,656.98 = 847.98/x
  3. Step 3: Cross multiply
    1,201.31x = 1,656.98 × 847.98
  4. Step 4: Simplify right side
    1,201.31x = 1,405,085.90
  5. Step 5: Solve for x
    x = 1,405,085.90/1,201.31
  6. Step 6: Final answer
    x = 1,169.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.