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Finding the Fourth Proportional to 584.87, 807.80 and 388.04

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Solution

The fourth proportional to 584.87, 807.80 and 388.04 is: 535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.87 : 807.80 = 388.04 : x
  2. Step 2: Convert to fraction form
    584.87/807.80 = 388.04/x
  3. Step 3: Cross multiply
    584.87x = 807.80 × 388.04
  4. Step 4: Simplify right side
    584.87x = 313,452.73
  5. Step 5: Solve for x
    x = 313,452.73/584.87
  6. Step 6: Final answer
    x = 535.94

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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.