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Finding the Fourth Proportional to 597.64, 823.79 and 445.98

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Solution

The fourth proportional to 597.64, 823.79 and 445.98 is: 614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.64 : 823.79 = 445.98 : x
  2. Step 2: Convert to fraction form
    597.64/823.79 = 445.98/x
  3. Step 3: Cross multiply
    597.64x = 823.79 × 445.98
  4. Step 4: Simplify right side
    597.64x = 367,391.63
  5. Step 5: Solve for x
    x = 367,391.63/597.64
  6. Step 6: Final answer
    x = 614.74

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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.