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Finding the Fourth Proportional to 597.42, 897.75 and 309.06

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Solution

The fourth proportional to 597.42, 897.75 and 309.06 is: 464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.42 : 897.75 = 309.06 : x
  2. Step 2: Convert to fraction form
    597.42/897.75 = 309.06/x
  3. Step 3: Cross multiply
    597.42x = 897.75 × 309.06
  4. Step 4: Simplify right side
    597.42x = 277,458.62
  5. Step 5: Solve for x
    x = 277,458.62/597.42
  6. Step 6: Final answer
    x = 464.43

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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.