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Finding the Fourth Proportional to 2,340.60, 3,510.87 and 698.28

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Solution

The fourth proportional to 2,340.60, 3,510.87 and 698.28 is: 1,047.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.60 : 3,510.87 = 698.28 : x
  2. Step 2: Convert to fraction form
    2,340.60/3,510.87 = 698.28/x
  3. Step 3: Cross multiply
    2,340.60x = 3,510.87 × 698.28
  4. Step 4: Simplify right side
    2,340.60x = 2,451,570.30
  5. Step 5: Solve for x
    x = 2,451,570.30/2,340.60
  6. Step 6: Final answer
    x = 1,047.41

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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.