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Finding the Fourth Proportional to 598.80, 897.40 and 427.60

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Solution

The fourth proportional to 598.80, 897.40 and 427.60 is: 640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.80 : 897.40 = 427.60 : x
  2. Step 2: Convert to fraction form
    598.80/897.40 = 427.60/x
  3. Step 3: Cross multiply
    598.80x = 897.40 × 427.60
  4. Step 4: Simplify right side
    598.80x = 383,728.24
  5. Step 5: Solve for x
    x = 383,728.24/598.80
  6. Step 6: Final answer
    x = 640.83

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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.