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Finding the Fourth Proportional to 572.75, 857.91 and 475.01

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Solution

The fourth proportional to 572.75, 857.91 and 475.01 is: 711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.75 : 857.91 = 475.01 : x
  2. Step 2: Convert to fraction form
    572.75/857.91 = 475.01/x
  3. Step 3: Cross multiply
    572.75x = 857.91 × 475.01
  4. Step 4: Simplify right side
    572.75x = 407,511.54
  5. Step 5: Solve for x
    x = 407,511.54/572.75
  6. Step 6: Final answer
    x = 711.51

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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.