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Finding the Fourth Proportional to 588, 811.36 and 499.84

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Solution

The fourth proportional to 588, 811.36 and 499.84 is: 689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    588 : 811.36 = 499.84 : x
  2. Step 2: Convert to fraction form
    588/811.36 = 499.84/x
  3. Step 3: Cross multiply
    588x = 811.36 × 499.84
  4. Step 4: Simplify right side
    588x = 405,550.18
  5. Step 5: Solve for x
    x = 405,550.18/588
  6. Step 6: Final answer
    x = 689.71

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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.