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Finding the Fourth Proportional to 588.68, 812.04 and 381.68

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Solution

The fourth proportional to 588.68, 812.04 and 381.68 is: 526.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.68 : 812.04 = 381.68 : x
  2. Step 2: Convert to fraction form
    588.68/812.04 = 381.68/x
  3. Step 3: Cross multiply
    588.68x = 812.04 × 381.68
  4. Step 4: Simplify right side
    588.68x = 309,939.43
  5. Step 5: Solve for x
    x = 309,939.43/588.68
  6. Step 6: Final answer
    x = 526.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.