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Finding the Fourth Proportional to 566.53, 850.08 and 489.98

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Solution

The fourth proportional to 566.53, 850.08 and 489.98 is: 735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.53 : 850.08 = 489.98 : x
  2. Step 2: Convert to fraction form
    566.53/850.08 = 489.98/x
  3. Step 3: Cross multiply
    566.53x = 850.08 × 489.98
  4. Step 4: Simplify right side
    566.53x = 416,522.20
  5. Step 5: Solve for x
    x = 416,522.20/566.53
  6. Step 6: Final answer
    x = 735.22

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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.