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Finding the Fourth Proportional to 588.97, 810.93 and 500.28

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Solution

The fourth proportional to 588.97, 810.93 and 500.28 is: 688.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.97 : 810.93 = 500.28 : x
  2. Step 2: Convert to fraction form
    588.97/810.93 = 500.28/x
  3. Step 3: Cross multiply
    588.97x = 810.93 × 500.28
  4. Step 4: Simplify right side
    588.97x = 405,688.08
  5. Step 5: Solve for x
    x = 405,688.08/588.97
  6. Step 6: Final answer
    x = 688.81

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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.