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Finding the Fourth Proportional to 841.44, 1,255 and 724.56

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Solution

The fourth proportional to 841.44, 1,255 and 724.56 is: 1,080.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.44 : 1,255 = 724.56 : x
  2. Step 2: Convert to fraction form
    841.44/1,255 = 724.56/x
  3. Step 3: Cross multiply
    841.44x = 1,255 × 724.56
  4. Step 4: Simplify right side
    841.44x = 909,322.80
  5. Step 5: Solve for x
    x = 909,322.80/841.44
  6. Step 6: Final answer
    x = 1,080.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.