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Finding the Fourth Proportional to 885.63, 1,328.72 and 308.46

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Solution

The fourth proportional to 885.63, 1,328.72 and 308.46 is: 462.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.63 : 1,328.72 = 308.46 : x
  2. Step 2: Convert to fraction form
    885.63/1,328.72 = 308.46/x
  3. Step 3: Cross multiply
    885.63x = 1,328.72 × 308.46
  4. Step 4: Simplify right side
    885.63x = 409,856.97
  5. Step 5: Solve for x
    x = 409,856.97/885.63
  6. Step 6: Final answer
    x = 462.79

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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.