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Finding the Fourth Proportional to 1,858.40, 2,787.60 and 490.40

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Solution

The fourth proportional to 1,858.40, 2,787.60 and 490.40 is: 735.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.40 : 2,787.60 = 490.40 : x
  2. Step 2: Convert to fraction form
    1,858.40/2,787.60 = 490.40/x
  3. Step 3: Cross multiply
    1,858.40x = 2,787.60 × 490.40
  4. Step 4: Simplify right side
    1,858.40x = 1,367,039.04
  5. Step 5: Solve for x
    x = 1,367,039.04/1,858.40
  6. Step 6: Final answer
    x = 735.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.