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Finding the Fourth Proportional to 597.21, 821.74 and 582.81

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Solution

The fourth proportional to 597.21, 821.74 and 582.81 is: 801.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.21 : 821.74 = 582.81 : x
  2. Step 2: Convert to fraction form
    597.21/821.74 = 582.81/x
  3. Step 3: Cross multiply
    597.21x = 821.74 × 582.81
  4. Step 4: Simplify right side
    597.21x = 478,915.38
  5. Step 5: Solve for x
    x = 478,915.38/597.21
  6. Step 6: Final answer
    x = 801.92

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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.