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Finding the Fourth Proportional to 588.21, 812.12 and 367.47

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Solution

The fourth proportional to 588.21, 812.12 and 367.47 is: 507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.21 : 812.12 = 367.47 : x
  2. Step 2: Convert to fraction form
    588.21/812.12 = 367.47/x
  3. Step 3: Cross multiply
    588.21x = 812.12 × 367.47
  4. Step 4: Simplify right side
    588.21x = 298,427.90
  5. Step 5: Solve for x
    x = 298,427.90/588.21
  6. Step 6: Final answer
    x = 507.35

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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.