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Finding the Fourth Proportional to 856.66, 1,284.48 and 308.74

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Solution

The fourth proportional to 856.66, 1,284.48 and 308.74 is: 462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.66 : 1,284.48 = 308.74 : x
  2. Step 2: Convert to fraction form
    856.66/1,284.48 = 308.74/x
  3. Step 3: Cross multiply
    856.66x = 1,284.48 × 308.74
  4. Step 4: Simplify right side
    856.66x = 396,570.36
  5. Step 5: Solve for x
    x = 396,570.36/856.66
  6. Step 6: Final answer
    x = 462.93

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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.