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Finding the Fourth Proportional to 1,553.78, 2,331 and 513.74

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Solution

The fourth proportional to 1,553.78, 2,331 and 513.74 is: 770.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.78 : 2,331 = 513.74 : x
  2. Step 2: Convert to fraction form
    1,553.78/2,331 = 513.74/x
  3. Step 3: Cross multiply
    1,553.78x = 2,331 × 513.74
  4. Step 4: Simplify right side
    1,553.78x = 1,197,533.77
  5. Step 5: Solve for x
    x = 1,197,533.77/1,553.78
  6. Step 6: Final answer
    x = 770.72

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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.