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Finding the Fourth Proportional to 838.20, 1,157.62 and 653.88

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Solution

The fourth proportional to 838.20, 1,157.62 and 653.88 is: 903.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.20 : 1,157.62 = 653.88 : x
  2. Step 2: Convert to fraction form
    838.20/1,157.62 = 653.88/x
  3. Step 3: Cross multiply
    838.20x = 1,157.62 × 653.88
  4. Step 4: Simplify right side
    838.20x = 756,944.57
  5. Step 5: Solve for x
    x = 756,944.57/838.20
  6. Step 6: Final answer
    x = 903.06

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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.