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Finding the Fourth Proportional to 597.93, 896.91 and 213.18

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Solution

The fourth proportional to 597.93, 896.91 and 213.18 is: 319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.93 : 896.91 = 213.18 : x
  2. Step 2: Convert to fraction form
    597.93/896.91 = 213.18/x
  3. Step 3: Cross multiply
    597.93x = 896.91 × 213.18
  4. Step 4: Simplify right side
    597.93x = 191,203.27
  5. Step 5: Solve for x
    x = 191,203.27/597.93
  6. Step 6: Final answer
    x = 319.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.