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Finding the Fourth Proportional to 597.14, 823.10 and 445.48

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Solution

The fourth proportional to 597.14, 823.10 and 445.48 is: 614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.14 : 823.10 = 445.48 : x
  2. Step 2: Convert to fraction form
    597.14/823.10 = 445.48/x
  3. Step 3: Cross multiply
    597.14x = 823.10 × 445.48
  4. Step 4: Simplify right side
    597.14x = 366,670.30
  5. Step 5: Solve for x
    x = 366,670.30/597.14
  6. Step 6: Final answer
    x = 614.05

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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.