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Finding the Fourth Proportional to 1,553.87, 2,330.66 and 513.86

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Solution

The fourth proportional to 1,553.87, 2,330.66 and 513.86 is: 770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.87 : 2,330.66 = 513.86 : x
  2. Step 2: Convert to fraction form
    1,553.87/2,330.66 = 513.86/x
  3. Step 3: Cross multiply
    1,553.87x = 2,330.66 × 513.86
  4. Step 4: Simplify right side
    1,553.87x = 1,197,618.73
  5. Step 5: Solve for x
    x = 1,197,618.73/1,553.87
  6. Step 6: Final answer
    x = 770.74

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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.