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Finding the Fourth Proportional to 571.68, 857.16 and 315.36

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Solution

The fourth proportional to 571.68, 857.16 and 315.36 is: 472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.68 : 857.16 = 315.36 : x
  2. Step 2: Convert to fraction form
    571.68/857.16 = 315.36/x
  3. Step 3: Cross multiply
    571.68x = 857.16 × 315.36
  4. Step 4: Simplify right side
    571.68x = 270,313.98
  5. Step 5: Solve for x
    x = 270,313.98/571.68
  6. Step 6: Final answer
    x = 472.84

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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.