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Finding the Fourth Proportional to 571.77, 853.79 and 448.65

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Solution

The fourth proportional to 571.77, 853.79 and 448.65 is: 669.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.77 : 853.79 = 448.65 : x
  2. Step 2: Convert to fraction form
    571.77/853.79 = 448.65/x
  3. Step 3: Cross multiply
    571.77x = 853.79 × 448.65
  4. Step 4: Simplify right side
    571.77x = 383,050.64
  5. Step 5: Solve for x
    x = 383,050.64/571.77
  6. Step 6: Final answer
    x = 669.94

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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.