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Finding the Fourth Proportional to 828.60, 1,238.16 and 596.40

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Solution

The fourth proportional to 828.60, 1,238.16 and 596.40 is: 891.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.60 : 1,238.16 = 596.40 : x
  2. Step 2: Convert to fraction form
    828.60/1,238.16 = 596.40/x
  3. Step 3: Cross multiply
    828.60x = 1,238.16 × 596.40
  4. Step 4: Simplify right side
    828.60x = 738,438.62
  5. Step 5: Solve for x
    x = 738,438.62/828.60
  6. Step 6: Final answer
    x = 891.19

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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.