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Finding the Fourth Proportional to 597.41, 824.43 and 447.77

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Solution

The fourth proportional to 597.41, 824.43 and 447.77 is: 617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.41 : 824.43 = 447.77 : x
  2. Step 2: Convert to fraction form
    597.41/824.43 = 447.77/x
  3. Step 3: Cross multiply
    597.41x = 824.43 × 447.77
  4. Step 4: Simplify right side
    597.41x = 369,148.66
  5. Step 5: Solve for x
    x = 369,148.66/597.41
  6. Step 6: Final answer
    x = 617.92

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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.