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Finding the Fourth Proportional to 571.62, 856.62 and 355.35

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Solution

The fourth proportional to 571.62, 856.62 and 355.35 is: 532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.62 : 856.62 = 355.35 : x
  2. Step 2: Convert to fraction form
    571.62/856.62 = 355.35/x
  3. Step 3: Cross multiply
    571.62x = 856.62 × 355.35
  4. Step 4: Simplify right side
    571.62x = 304,399.92
  5. Step 5: Solve for x
    x = 304,399.92/571.62
  6. Step 6: Final answer
    x = 532.52

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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.