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Finding the Fourth Proportional to 1,201.77, 1,657.20 and 782.15

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Solution

The fourth proportional to 1,201.77, 1,657.20 and 782.15 is: 1,078.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.77 : 1,657.20 = 782.15 : x
  2. Step 2: Convert to fraction form
    1,201.77/1,657.20 = 782.15/x
  3. Step 3: Cross multiply
    1,201.77x = 1,657.20 × 782.15
  4. Step 4: Simplify right side
    1,201.77x = 1,296,170.69
  5. Step 5: Solve for x
    x = 1,296,170.69/1,201.77
  6. Step 6: Final answer
    x = 1,078.55

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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.