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Finding the Fourth Proportional to 588.62, 810.44 and 499.91

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Solution

The fourth proportional to 588.62, 810.44 and 499.91 is: 688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.62 : 810.44 = 499.91 : x
  2. Step 2: Convert to fraction form
    588.62/810.44 = 499.91/x
  3. Step 3: Cross multiply
    588.62x = 810.44 × 499.91
  4. Step 4: Simplify right side
    588.62x = 405,140.51
  5. Step 5: Solve for x
    x = 405,140.51/588.62
  6. Step 6: Final answer
    x = 688.29

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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.