Home / 1,520.70-2,280.45-654.78

Finding the Fourth Proportional to 1,520.70, 2,280.45 and 654.78

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Solution

The fourth proportional to 1,520.70, 2,280.45 and 654.78 is: 981.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.70 : 2,280.45 = 654.78 : x
  2. Step 2: Convert to fraction form
    1,520.70/2,280.45 = 654.78/x
  3. Step 3: Cross multiply
    1,520.70x = 2,280.45 × 654.78
  4. Step 4: Simplify right side
    1,520.70x = 1,493,193.05
  5. Step 5: Solve for x
    x = 1,493,193.05/1,520.70
  6. Step 6: Final answer
    x = 981.91

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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.