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Finding the Fourth Proportional to 597.67, 822.54 and 505.62

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Solution

The fourth proportional to 597.67, 822.54 and 505.62 is: 695.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.67 : 822.54 = 505.62 : x
  2. Step 2: Convert to fraction form
    597.67/822.54 = 505.62/x
  3. Step 3: Cross multiply
    597.67x = 822.54 × 505.62
  4. Step 4: Simplify right side
    597.67x = 415,894.73
  5. Step 5: Solve for x
    x = 415,894.73/597.67
  6. Step 6: Final answer
    x = 695.86

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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.