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Finding the Fourth Proportional to 1,797.40, 2,480.10 and 1,011.48

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Solution

The fourth proportional to 1,797.40, 2,480.10 and 1,011.48 is: 1,395.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.40 : 2,480.10 = 1,011.48 : x
  2. Step 2: Convert to fraction form
    1,797.40/2,480.10 = 1,011.48/x
  3. Step 3: Cross multiply
    1,797.40x = 2,480.10 × 1,011.48
  4. Step 4: Simplify right side
    1,797.40x = 2,508,571.55
  5. Step 5: Solve for x
    x = 2,508,571.55/1,797.40
  6. Step 6: Final answer
    x = 1,395.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.