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Finding the Fourth Proportional to 499.95, 690.06 and 450.75

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Solution

The fourth proportional to 499.95, 690.06 and 450.75 is: 622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.95 : 690.06 = 450.75 : x
  2. Step 2: Convert to fraction form
    499.95/690.06 = 450.75/x
  3. Step 3: Cross multiply
    499.95x = 690.06 × 450.75
  4. Step 4: Simplify right side
    499.95x = 311,044.55
  5. Step 5: Solve for x
    x = 311,044.55/499.95
  6. Step 6: Final answer
    x = 622.15

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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.