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Finding the Fourth Proportional to 1,874.60, 2,811.36 and 558.30

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Solution

The fourth proportional to 1,874.60, 2,811.36 and 558.30 is: 837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.60 : 2,811.36 = 558.30 : x
  2. Step 2: Convert to fraction form
    1,874.60/2,811.36 = 558.30/x
  3. Step 3: Cross multiply
    1,874.60x = 2,811.36 × 558.30
  4. Step 4: Simplify right side
    1,874.60x = 1,569,576.66
  5. Step 5: Solve for x
    x = 1,569,576.66/1,874.60
  6. Step 6: Final answer
    x = 837.29

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