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Finding the Fourth Proportional to 823.61, 1,224.83 and 797.66

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Solution

The fourth proportional to 823.61, 1,224.83 and 797.66 is: 1,186.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.61 : 1,224.83 = 797.66 : x
  2. Step 2: Convert to fraction form
    823.61/1,224.83 = 797.66/x
  3. Step 3: Cross multiply
    823.61x = 1,224.83 × 797.66
  4. Step 4: Simplify right side
    823.61x = 976,987.79
  5. Step 5: Solve for x
    x = 976,987.79/823.61
  6. Step 6: Final answer
    x = 1,186.22

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1.5x scale

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.