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Finding the Fourth Proportional to 675.23, 931.89 and 489.33

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Solution

The fourth proportional to 675.23, 931.89 and 489.33 is: 675.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.23 : 931.89 = 489.33 : x
  2. Step 2: Convert to fraction form
    675.23/931.89 = 489.33/x
  3. Step 3: Cross multiply
    675.23x = 931.89 × 489.33
  4. Step 4: Simplify right side
    675.23x = 456,001.73
  5. Step 5: Solve for x
    x = 456,001.73/675.23
  6. Step 6: Final answer
    x = 675.33

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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.