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Finding the Fourth Proportional to 1,181.78, 1,772.45 and 348.67

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Solution

The fourth proportional to 1,181.78, 1,772.45 and 348.67 is: 522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.78 : 1,772.45 = 348.67 : x
  2. Step 2: Convert to fraction form
    1,181.78/1,772.45 = 348.67/x
  3. Step 3: Cross multiply
    1,181.78x = 1,772.45 × 348.67
  4. Step 4: Simplify right side
    1,181.78x = 617,996.58
  5. Step 5: Solve for x
    x = 617,996.58/1,181.78
  6. Step 6: Final answer
    x = 522.94

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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.