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Finding the Fourth Proportional to 1,416.97, 1,955.37 and 787.46

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Solution

The fourth proportional to 1,416.97, 1,955.37 and 787.46 is: 1,086.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.97 : 1,955.37 = 787.46 : x
  2. Step 2: Convert to fraction form
    1,416.97/1,955.37 = 787.46/x
  3. Step 3: Cross multiply
    1,416.97x = 1,955.37 × 787.46
  4. Step 4: Simplify right side
    1,416.97x = 1,539,765.88
  5. Step 5: Solve for x
    x = 1,539,765.88/1,416.97
  6. Step 6: Final answer
    x = 1,086.66

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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.