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Finding the Fourth Proportional to 571.70, 856.33 and 354.62

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Solution

The fourth proportional to 571.70, 856.33 and 354.62 is: 531.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.70 : 856.33 = 354.62 : x
  2. Step 2: Convert to fraction form
    571.70/856.33 = 354.62/x
  3. Step 3: Cross multiply
    571.70x = 856.33 × 354.62
  4. Step 4: Simplify right side
    571.70x = 303,671.74
  5. Step 5: Solve for x
    x = 303,671.74/571.70
  6. Step 6: Final answer
    x = 531.17

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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.