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Finding the Fourth Proportional to 588.88, 812.68 and 367.84

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Solution

The fourth proportional to 588.88, 812.68 and 367.84 is: 507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.88 : 812.68 = 367.84 : x
  2. Step 2: Convert to fraction form
    588.88/812.68 = 367.84/x
  3. Step 3: Cross multiply
    588.88x = 812.68 × 367.84
  4. Step 4: Simplify right side
    588.88x = 298,936.21
  5. Step 5: Solve for x
    x = 298,936.21/588.88
  6. Step 6: Final answer
    x = 507.64

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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.