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Finding the Fourth Proportional to 571.99, 857.95 and 398.14

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Solution

The fourth proportional to 571.99, 857.95 and 398.14 is: 597.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.99 : 857.95 = 398.14 : x
  2. Step 2: Convert to fraction form
    571.99/857.95 = 398.14/x
  3. Step 3: Cross multiply
    571.99x = 857.95 × 398.14
  4. Step 4: Simplify right side
    571.99x = 341,584.21
  5. Step 5: Solve for x
    x = 341,584.21/571.99
  6. Step 6: Final answer
    x = 597.19

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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.