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Finding the Fourth Proportional to 571.50, 853.02 and 557.69

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Solution

The fourth proportional to 571.50, 853.02 and 557.69 is: 832.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.50 : 853.02 = 557.69 : x
  2. Step 2: Convert to fraction form
    571.50/853.02 = 557.69/x
  3. Step 3: Cross multiply
    571.50x = 853.02 × 557.69
  4. Step 4: Simplify right side
    571.50x = 475,720.72
  5. Step 5: Solve for x
    x = 475,720.72/571.50
  6. Step 6: Final answer
    x = 832.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.