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Finding the Fourth Proportional to 822.75, 1,234.13 and 802.10

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Solution

The fourth proportional to 822.75, 1,234.13 and 802.10 is: 1,203.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.75 : 1,234.13 = 802.10 : x
  2. Step 2: Convert to fraction form
    822.75/1,234.13 = 802.10/x
  3. Step 3: Cross multiply
    822.75x = 1,234.13 × 802.10
  4. Step 4: Simplify right side
    822.75x = 989,895.67
  5. Step 5: Solve for x
    x = 989,895.67/822.75
  6. Step 6: Final answer
    x = 1,203.15

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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.