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Finding the Fourth Proportional to 571.36, 856.32 and 376.24

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Solution

The fourth proportional to 571.36, 856.32 and 376.24 is: 563.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.36 : 856.32 = 376.24 : x
  2. Step 2: Convert to fraction form
    571.36/856.32 = 376.24/x
  3. Step 3: Cross multiply
    571.36x = 856.32 × 376.24
  4. Step 4: Simplify right side
    571.36x = 322,181.84
  5. Step 5: Solve for x
    x = 322,181.84/571.36
  6. Step 6: Final answer
    x = 563.89

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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.