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Finding the Fourth Proportional to 596.69, 822.63 and 489.95

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Solution

The fourth proportional to 596.69, 822.63 and 489.95 is: 675.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.69 : 822.63 = 489.95 : x
  2. Step 2: Convert to fraction form
    596.69/822.63 = 489.95/x
  3. Step 3: Cross multiply
    596.69x = 822.63 × 489.95
  4. Step 4: Simplify right side
    596.69x = 403,043.46
  5. Step 5: Solve for x
    x = 403,043.46/596.69
  6. Step 6: Final answer
    x = 675.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.