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Finding the Fourth Proportional to 597.66, 896.74 and 309.30

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Solution

The fourth proportional to 597.66, 896.74 and 309.30 is: 464.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.66 : 896.74 = 309.30 : x
  2. Step 2: Convert to fraction form
    597.66/896.74 = 309.30/x
  3. Step 3: Cross multiply
    597.66x = 896.74 × 309.30
  4. Step 4: Simplify right side
    597.66x = 277,361.68
  5. Step 5: Solve for x
    x = 277,361.68/597.66
  6. Step 6: Final answer
    x = 464.08

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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.