Home / 1,520.40-2,280.56-698.44

Finding the Fourth Proportional to 1,520.40, 2,280.56 and 698.44

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Solution

The fourth proportional to 1,520.40, 2,280.56 and 698.44 is: 1,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.40 : 2,280.56 = 698.44 : x
  2. Step 2: Convert to fraction form
    1,520.40/2,280.56 = 698.44/x
  3. Step 3: Cross multiply
    1,520.40x = 2,280.56 × 698.44
  4. Step 4: Simplify right side
    1,520.40x = 1,592,834.33
  5. Step 5: Solve for x
    x = 1,592,834.33/1,520.40
  6. Step 6: Final answer
    x = 1,047.64

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1.5x scale

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.