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Finding the Fourth Proportional to 597.80, 822.71 and 505.75

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Solution

The fourth proportional to 597.80, 822.71 and 505.75 is: 696.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.80 : 822.71 = 505.75 : x
  2. Step 2: Convert to fraction form
    597.80/822.71 = 505.75/x
  3. Step 3: Cross multiply
    597.80x = 822.71 × 505.75
  4. Step 4: Simplify right side
    597.80x = 416,084.79
  5. Step 5: Solve for x
    x = 416,084.79/597.80
  6. Step 6: Final answer
    x = 696.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.