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Finding the Fourth Proportional to 647.14, 892.74 and 384.97

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Solution

The fourth proportional to 647.14, 892.74 and 384.97 is: 531.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.14 : 892.74 = 384.97 : x
  2. Step 2: Convert to fraction form
    647.14/892.74 = 384.97/x
  3. Step 3: Cross multiply
    647.14x = 892.74 × 384.97
  4. Step 4: Simplify right side
    647.14x = 343,678.12
  5. Step 5: Solve for x
    x = 343,678.12/647.14
  6. Step 6: Final answer
    x = 531.07

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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.