Home / 1,208.02-1,665.75-787.60

Finding the Fourth Proportional to 1,208.02, 1,665.75 and 787.60

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Solution

The fourth proportional to 1,208.02, 1,665.75 and 787.60 is: 1,086.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.02 : 1,665.75 = 787.60 : x
  2. Step 2: Convert to fraction form
    1,208.02/1,665.75 = 787.60/x
  3. Step 3: Cross multiply
    1,208.02x = 1,665.75 × 787.60
  4. Step 4: Simplify right side
    1,208.02x = 1,311,944.70
  5. Step 5: Solve for x
    x = 1,311,944.70/1,208.02
  6. Step 6: Final answer
    x = 1,086.03

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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.