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Finding the Fourth Proportional to 538.24, 802.76 and 489.28

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Solution

The fourth proportional to 538.24, 802.76 and 489.28 is: 729.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.24 : 802.76 = 489.28 : x
  2. Step 2: Convert to fraction form
    538.24/802.76 = 489.28/x
  3. Step 3: Cross multiply
    538.24x = 802.76 × 489.28
  4. Step 4: Simplify right side
    538.24x = 392,774.41
  5. Step 5: Solve for x
    x = 392,774.41/538.24
  6. Step 6: Final answer
    x = 729.74

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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.