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Finding the Fourth Proportional to 613.77, 920.13 and 266.84

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Solution

The fourth proportional to 613.77, 920.13 and 266.84 is: 400.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.77 : 920.13 = 266.84 : x
  2. Step 2: Convert to fraction form
    613.77/920.13 = 266.84/x
  3. Step 3: Cross multiply
    613.77x = 920.13 × 266.84
  4. Step 4: Simplify right side
    613.77x = 245,526.16
  5. Step 5: Solve for x
    x = 245,526.16/613.77
  6. Step 6: Final answer
    x = 400.03

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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.