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Finding the Fourth Proportional to 802.16, 1,203.23 and 665.47

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Solution

The fourth proportional to 802.16, 1,203.23 and 665.47 is: 998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.16 : 1,203.23 = 665.47 : x
  2. Step 2: Convert to fraction form
    802.16/1,203.23 = 665.47/x
  3. Step 3: Cross multiply
    802.16x = 1,203.23 × 665.47
  4. Step 4: Simplify right side
    802.16x = 800,712.12
  5. Step 5: Solve for x
    x = 800,712.12/802.16
  6. Step 6: Final answer
    x = 998.20

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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.