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Finding the Fourth Proportional to 2,698.59, 4,047.70 and 724.22

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Solution

The fourth proportional to 2,698.59, 4,047.70 and 724.22 is: 1,086.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.59 : 4,047.70 = 724.22 : x
  2. Step 2: Convert to fraction form
    2,698.59/4,047.70 = 724.22/x
  3. Step 3: Cross multiply
    2,698.59x = 4,047.70 × 724.22
  4. Step 4: Simplify right side
    2,698.59x = 2,931,425.29
  5. Step 5: Solve for x
    x = 2,931,425.29/2,698.59
  6. Step 6: Final answer
    x = 1,086.28

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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.