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Finding the Fourth Proportional to 613.99, 920.98 and 505.55

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Solution

The fourth proportional to 613.99, 920.98 and 505.55 is: 758.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.99 : 920.98 = 505.55 : x
  2. Step 2: Convert to fraction form
    613.99/920.98 = 505.55/x
  3. Step 3: Cross multiply
    613.99x = 920.98 × 505.55
  4. Step 4: Simplify right side
    613.99x = 465,599.14
  5. Step 5: Solve for x
    x = 465,599.14/613.99
  6. Step 6: Final answer
    x = 758.32

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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.