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Finding the Fourth Proportional to 597.42, 822.20 and 505.37

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Solution

The fourth proportional to 597.42, 822.20 and 505.37 is: 695.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.42 : 822.20 = 505.37 : x
  2. Step 2: Convert to fraction form
    597.42/822.20 = 505.37/x
  3. Step 3: Cross multiply
    597.42x = 822.20 × 505.37
  4. Step 4: Simplify right side
    597.42x = 415,514.74
  5. Step 5: Solve for x
    x = 415,514.74/597.42
  6. Step 6: Final answer
    x = 695.52

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Double scale
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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.