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Finding the Fourth Proportional to 647.78, 893.99 and 395.67

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Solution

The fourth proportional to 647.78, 893.99 and 395.67 is: 546.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.78 : 893.99 = 395.67 : x
  2. Step 2: Convert to fraction form
    647.78/893.99 = 395.67/x
  3. Step 3: Cross multiply
    647.78x = 893.99 × 395.67
  4. Step 4: Simplify right side
    647.78x = 353,729.36
  5. Step 5: Solve for x
    x = 353,729.36/647.78
  6. Step 6: Final answer
    x = 546.07

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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.