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Finding the Fourth Proportional to 856.42, 1,284.58 and 279.26

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Solution

The fourth proportional to 856.42, 1,284.58 and 279.26 is: 418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.42 : 1,284.58 = 279.26 : x
  2. Step 2: Convert to fraction form
    856.42/1,284.58 = 279.26/x
  3. Step 3: Cross multiply
    856.42x = 1,284.58 × 279.26
  4. Step 4: Simplify right side
    856.42x = 358,731.81
  5. Step 5: Solve for x
    x = 358,731.81/856.42
  6. Step 6: Final answer
    x = 418.87

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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.