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Finding the Fourth Proportional to 597.11, 822.92 and 491.51

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Solution

The fourth proportional to 597.11, 822.92 and 491.51 is: 677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.11 : 822.92 = 491.51 : x
  2. Step 2: Convert to fraction form
    597.11/822.92 = 491.51/x
  3. Step 3: Cross multiply
    597.11x = 822.92 × 491.51
  4. Step 4: Simplify right side
    597.11x = 404,466.84
  5. Step 5: Solve for x
    x = 404,466.84/597.11
  6. Step 6: Final answer
    x = 677.38

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Double scale
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1.5x scale

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.