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Finding the Fourth Proportional to 1,201.50, 1,657.16 and 829.10

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Solution

The fourth proportional to 1,201.50, 1,657.16 and 829.10 is: 1,143.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.50 : 1,657.16 = 829.10 : x
  2. Step 2: Convert to fraction form
    1,201.50/1,657.16 = 829.10/x
  3. Step 3: Cross multiply
    1,201.50x = 1,657.16 × 829.10
  4. Step 4: Simplify right side
    1,201.50x = 1,373,954.46
  5. Step 5: Solve for x
    x = 1,373,954.46/1,201.50
  6. Step 6: Final answer
    x = 1,143.53

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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.