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Finding the Fourth Proportional to 538, 802.82 and 489.36

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Solution

The fourth proportional to 538, 802.82 and 489.36 is: 730.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    538 : 802.82 = 489.36 : x
  2. Step 2: Convert to fraction form
    538/802.82 = 489.36/x
  3. Step 3: Cross multiply
    538x = 802.82 × 489.36
  4. Step 4: Simplify right side
    538x = 392,868.00
  5. Step 5: Solve for x
    x = 392,868.00/538
  6. Step 6: Final answer
    x = 730.24

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