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Finding the Fourth Proportional to 825.65, 1,233.74 and 810.26

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Solution

The fourth proportional to 825.65, 1,233.74 and 810.26 is: 1,210.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.65 : 1,233.74 = 810.26 : x
  2. Step 2: Convert to fraction form
    825.65/1,233.74 = 810.26/x
  3. Step 3: Cross multiply
    825.65x = 1,233.74 × 810.26
  4. Step 4: Simplify right side
    825.65x = 999,639.95
  5. Step 5: Solve for x
    x = 999,639.95/825.65
  6. Step 6: Final answer
    x = 1,210.74

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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.