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Finding the Fourth Proportional to 589.25, 811.75 and 496.00

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Solution

The fourth proportional to 589.25, 811.75 and 496.00 is: 683.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.25 : 811.75 = 496.00 : x
  2. Step 2: Convert to fraction form
    589.25/811.75 = 496.00/x
  3. Step 3: Cross multiply
    589.25x = 811.75 × 496.00
  4. Step 4: Simplify right side
    589.25x = 402,623.94
  5. Step 5: Solve for x
    x = 402,623.94/589.25
  6. Step 6: Final answer
    x = 683.28

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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.