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Finding the Fourth Proportional to 535.98, 802.61 and 444.41

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Solution

The fourth proportional to 535.98, 802.61 and 444.41 is: 665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.98 : 802.61 = 444.41 : x
  2. Step 2: Convert to fraction form
    535.98/802.61 = 444.41/x
  3. Step 3: Cross multiply
    535.98x = 802.61 × 444.41
  4. Step 4: Simplify right side
    535.98x = 356,681.68
  5. Step 5: Solve for x
    x = 356,681.68/535.98
  6. Step 6: Final answer
    x = 665.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.