Home / 1,746.26-2,615.63-820.43

Finding the Fourth Proportional to 1,746.26, 2,615.63 and 820.43

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Solution

The fourth proportional to 1,746.26, 2,615.63 and 820.43 is: 1,228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.26 : 2,615.63 = 820.43 : x
  2. Step 2: Convert to fraction form
    1,746.26/2,615.63 = 820.43/x
  3. Step 3: Cross multiply
    1,746.26x = 2,615.63 × 820.43
  4. Step 4: Simplify right side
    1,746.26x = 2,145,953.28
  5. Step 5: Solve for x
    x = 2,145,953.28/1,746.26
  6. Step 6: Final answer
    x = 1,228.88

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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.