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Finding the Fourth Proportional to 838.68, 1,157.36 and 484.60

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Solution

The fourth proportional to 838.68, 1,157.36 and 484.60 is: 668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.68 : 1,157.36 = 484.60 : x
  2. Step 2: Convert to fraction form
    838.68/1,157.36 = 484.60/x
  3. Step 3: Cross multiply
    838.68x = 1,157.36 × 484.60
  4. Step 4: Simplify right side
    838.68x = 560,856.66
  5. Step 5: Solve for x
    x = 560,856.66/838.68
  6. Step 6: Final answer
    x = 668.74

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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.