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Finding the Fourth Proportional to 615.50, 850.02 and 459.98

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Solution

The fourth proportional to 615.50, 850.02 and 459.98 is: 635.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.50 : 850.02 = 459.98 : x
  2. Step 2: Convert to fraction form
    615.50/850.02 = 459.98/x
  3. Step 3: Cross multiply
    615.50x = 850.02 × 459.98
  4. Step 4: Simplify right side
    615.50x = 390,992.20
  5. Step 5: Solve for x
    x = 390,992.20/615.50
  6. Step 6: Final answer
    x = 635.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.