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Finding the Fourth Proportional to 856.42, 1,284.64 and 308.59

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Solution

The fourth proportional to 856.42, 1,284.64 and 308.59 is: 462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.42 : 1,284.64 = 308.59 : x
  2. Step 2: Convert to fraction form
    856.42/1,284.64 = 308.59/x
  3. Step 3: Cross multiply
    856.42x = 1,284.64 × 308.59
  4. Step 4: Simplify right side
    856.42x = 396,423.07
  5. Step 5: Solve for x
    x = 396,423.07/856.42
  6. Step 6: Final answer
    x = 462.89

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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.