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Finding the Fourth Proportional to 584.92, 807.00 and 388.47

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Solution

The fourth proportional to 584.92, 807.00 and 388.47 is: 535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.92 : 807.00 = 388.47 : x
  2. Step 2: Convert to fraction form
    584.92/807.00 = 388.47/x
  3. Step 3: Cross multiply
    584.92x = 807.00 × 388.47
  4. Step 4: Simplify right side
    584.92x = 313,489.31
  5. Step 5: Solve for x
    x = 313,489.31/584.92
  6. Step 6: Final answer
    x = 535.96

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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.