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Finding the Fourth Proportional to 588.48, 811.83 and 499.59

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Solution

The fourth proportional to 588.48, 811.83 and 499.59 is: 689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.48 : 811.83 = 499.59 : x
  2. Step 2: Convert to fraction form
    588.48/811.83 = 499.59/x
  3. Step 3: Cross multiply
    588.48x = 811.83 × 499.59
  4. Step 4: Simplify right side
    588.48x = 405,582.15
  5. Step 5: Solve for x
    x = 405,582.15/588.48
  6. Step 6: Final answer
    x = 689.20

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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.