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Finding the Fourth Proportional to 538, 802.80 and 489.52

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Solution

The fourth proportional to 538, 802.80 and 489.52 is: 730.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    538 : 802.80 = 489.52 : x
  2. Step 2: Convert to fraction form
    538/802.80 = 489.52/x
  3. Step 3: Cross multiply
    538x = 802.80 × 489.52
  4. Step 4: Simplify right side
    538x = 392,986.66
  5. Step 5: Solve for x
    x = 392,986.66/538
  6. Step 6: Final answer
    x = 730.46

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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.