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Finding the Fourth Proportional to 856.44, 1,284.80 and 279.24

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Solution

The fourth proportional to 856.44, 1,284.80 and 279.24 is: 418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.44 : 1,284.80 = 279.24 : x
  2. Step 2: Convert to fraction form
    856.44/1,284.80 = 279.24/x
  3. Step 3: Cross multiply
    856.44x = 1,284.80 × 279.24
  4. Step 4: Simplify right side
    856.44x = 358,767.55
  5. Step 5: Solve for x
    x = 358,767.55/856.44
  6. Step 6: Final answer
    x = 418.91

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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.