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Finding the Fourth Proportional to 598.62, 897.80 and 394.62

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Solution

The fourth proportional to 598.62, 897.80 and 394.62 is: 591.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.62 : 897.80 = 394.62 : x
  2. Step 2: Convert to fraction form
    598.62/897.80 = 394.62/x
  3. Step 3: Cross multiply
    598.62x = 897.80 × 394.62
  4. Step 4: Simplify right side
    598.62x = 354,289.84
  5. Step 5: Solve for x
    x = 354,289.84/598.62
  6. Step 6: Final answer
    x = 591.84

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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.