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Finding the Fourth Proportional to 647.81, 894.07 and 367.99

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Solution

The fourth proportional to 647.81, 894.07 and 367.99 is: 507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.81 : 894.07 = 367.99 : x
  2. Step 2: Convert to fraction form
    647.81/894.07 = 367.99/x
  3. Step 3: Cross multiply
    647.81x = 894.07 × 367.99
  4. Step 4: Simplify right side
    647.81x = 329,008.30
  5. Step 5: Solve for x
    x = 329,008.30/647.81
  6. Step 6: Final answer
    x = 507.88

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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.