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Finding the Fourth Proportional to 856.05, 1,283.81 and 335.93

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Solution

The fourth proportional to 856.05, 1,283.81 and 335.93 is: 503.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.05 : 1,283.81 = 335.93 : x
  2. Step 2: Convert to fraction form
    856.05/1,283.81 = 335.93/x
  3. Step 3: Cross multiply
    856.05x = 1,283.81 × 335.93
  4. Step 4: Simplify right side
    856.05x = 431,262.19
  5. Step 5: Solve for x
    x = 431,262.19/856.05
  6. Step 6: Final answer
    x = 503.78

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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.