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Finding the Fourth Proportional to 1,520.35, 2,280.59 and 546.19

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Solution

The fourth proportional to 1,520.35, 2,280.59 and 546.19 is: 819.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.35 : 2,280.59 = 546.19 : x
  2. Step 2: Convert to fraction form
    1,520.35/2,280.59 = 546.19/x
  3. Step 3: Cross multiply
    1,520.35x = 2,280.59 × 546.19
  4. Step 4: Simplify right side
    1,520.35x = 1,245,635.45
  5. Step 5: Solve for x
    x = 1,245,635.45/1,520.35
  6. Step 6: Final answer
    x = 819.31

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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.