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Finding the Fourth Proportional to 536.06, 800.78 and 380.77

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Solution

The fourth proportional to 536.06, 800.78 and 380.77 is: 568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.06 : 800.78 = 380.77 : x
  2. Step 2: Convert to fraction form
    536.06/800.78 = 380.77/x
  3. Step 3: Cross multiply
    536.06x = 800.78 × 380.77
  4. Step 4: Simplify right side
    536.06x = 304,909.09
  5. Step 5: Solve for x
    x = 304,909.09/536.06
  6. Step 6: Final answer
    x = 568.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.