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Finding the Fourth Proportional to 1,346.97, 1,858.35 and 787.41

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Solution

The fourth proportional to 1,346.97, 1,858.35 and 787.41 is: 1,086.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.97 : 1,858.35 = 787.41 : x
  2. Step 2: Convert to fraction form
    1,346.97/1,858.35 = 787.41/x
  3. Step 3: Cross multiply
    1,346.97x = 1,858.35 × 787.41
  4. Step 4: Simplify right side
    1,346.97x = 1,463,276.45
  5. Step 5: Solve for x
    x = 1,463,276.45/1,346.97
  6. Step 6: Final answer
    x = 1,086.35

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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.