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Finding the Fourth Proportional to 597.87, 897.08 and 305.19

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Solution

The fourth proportional to 597.87, 897.08 and 305.19 is: 457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.87 : 897.08 = 305.19 : x
  2. Step 2: Convert to fraction form
    597.87/897.08 = 305.19/x
  3. Step 3: Cross multiply
    597.87x = 897.08 × 305.19
  4. Step 4: Simplify right side
    597.87x = 273,778.32
  5. Step 5: Solve for x
    x = 273,778.32/597.87
  6. Step 6: Final answer
    x = 457.92

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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.