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Finding the Fourth Proportional to 571.58, 858.40 and 540.83

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Solution

The fourth proportional to 571.58, 858.40 and 540.83 is: 812.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.58 : 858.40 = 540.83 : x
  2. Step 2: Convert to fraction form
    571.58/858.40 = 540.83/x
  3. Step 3: Cross multiply
    571.58x = 858.40 × 540.83
  4. Step 4: Simplify right side
    571.58x = 464,244.44
  5. Step 5: Solve for x
    x = 464,244.44/571.58
  6. Step 6: Final answer
    x = 812.21

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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.