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Finding the Fourth Proportional to 571.38, 857.06 and 282.60

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Solution

The fourth proportional to 571.38, 857.06 and 282.60 is: 423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.38 : 857.06 = 282.60 : x
  2. Step 2: Convert to fraction form
    571.38/857.06 = 282.60/x
  3. Step 3: Cross multiply
    571.38x = 857.06 × 282.60
  4. Step 4: Simplify right side
    571.38x = 242,205.16
  5. Step 5: Solve for x
    x = 242,205.16/571.38
  6. Step 6: Final answer
    x = 423.90

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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.