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Finding the Fourth Proportional to 536.87, 808.16 and 383.85

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Solution

The fourth proportional to 536.87, 808.16 and 383.85 is: 577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.87 : 808.16 = 383.85 : x
  2. Step 2: Convert to fraction form
    536.87/808.16 = 383.85/x
  3. Step 3: Cross multiply
    536.87x = 808.16 × 383.85
  4. Step 4: Simplify right side
    536.87x = 310,212.22
  5. Step 5: Solve for x
    x = 310,212.22/536.87
  6. Step 6: Final answer
    x = 577.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.