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Finding the Fourth Proportional to 1,200.80, 1,656.48 and 781.00

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Solution

The fourth proportional to 1,200.80, 1,656.48 and 781.00 is: 1,077.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.80 : 1,656.48 = 781.00 : x
  2. Step 2: Convert to fraction form
    1,200.80/1,656.48 = 781.00/x
  3. Step 3: Cross multiply
    1,200.80x = 1,656.48 × 781.00
  4. Step 4: Simplify right side
    1,200.80x = 1,293,709.18
  5. Step 5: Solve for x
    x = 1,293,709.18/1,200.80
  6. Step 6: Final answer
    x = 1,077.37

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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.