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Finding the Fourth Proportional to 588.59, 811.99 and 389.37

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Solution

The fourth proportional to 588.59, 811.99 and 389.37 is: 537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.59 : 811.99 = 389.37 : x
  2. Step 2: Convert to fraction form
    588.59/811.99 = 389.37/x
  3. Step 3: Cross multiply
    588.59x = 811.99 × 389.37
  4. Step 4: Simplify right side
    588.59x = 316,164.55
  5. Step 5: Solve for x
    x = 316,164.55/588.59
  6. Step 6: Final answer
    x = 537.16

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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.