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Finding the Fourth Proportional to 1,200.27, 1,655.13 and 780.64

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Solution

The fourth proportional to 1,200.27, 1,655.13 and 780.64 is: 1,076.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.27 : 1,655.13 = 780.64 : x
  2. Step 2: Convert to fraction form
    1,200.27/1,655.13 = 780.64/x
  3. Step 3: Cross multiply
    1,200.27x = 1,655.13 × 780.64
  4. Step 4: Simplify right side
    1,200.27x = 1,292,059.47
  5. Step 5: Solve for x
    x = 1,292,059.47/1,200.27
  6. Step 6: Final answer
    x = 1,076.48

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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.