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Finding the Fourth Proportional to 571.98, 856.62 and 388.92

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Solution

The fourth proportional to 571.98, 856.62 and 388.92 is: 582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.98 : 856.62 = 388.92 : x
  2. Step 2: Convert to fraction form
    571.98/856.62 = 388.92/x
  3. Step 3: Cross multiply
    571.98x = 856.62 × 388.92
  4. Step 4: Simplify right side
    571.98x = 333,156.65
  5. Step 5: Solve for x
    x = 333,156.65/571.98
  6. Step 6: Final answer
    x = 582.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.