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Finding the Fourth Proportional to 571.44, 858.12 and 542.22

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Solution

The fourth proportional to 571.44, 858.12 and 542.22 is: 814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.44 : 858.12 = 542.22 : x
  2. Step 2: Convert to fraction form
    571.44/858.12 = 542.22/x
  3. Step 3: Cross multiply
    571.44x = 858.12 × 542.22
  4. Step 4: Simplify right side
    571.44x = 465,289.83
  5. Step 5: Solve for x
    x = 465,289.83/571.44
  6. Step 6: Final answer
    x = 814.24

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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.