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Finding the Fourth Proportional to 571.98, 853.83 and 489.36

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Solution

The fourth proportional to 571.98, 853.83 and 489.36 is: 730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.98 : 853.83 = 489.36 : x
  2. Step 2: Convert to fraction form
    571.98/853.83 = 489.36/x
  3. Step 3: Cross multiply
    571.98x = 853.83 × 489.36
  4. Step 4: Simplify right side
    571.98x = 417,830.25
  5. Step 5: Solve for x
    x = 417,830.25/571.98
  6. Step 6: Final answer
    x = 730.50

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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.