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Finding the Fourth Proportional to 689.52, 948.96 and 492.60

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Solution

The fourth proportional to 689.52, 948.96 and 492.60 is: 677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.52 : 948.96 = 492.60 : x
  2. Step 2: Convert to fraction form
    689.52/948.96 = 492.60/x
  3. Step 3: Cross multiply
    689.52x = 948.96 × 492.60
  4. Step 4: Simplify right side
    689.52x = 467,457.70
  5. Step 5: Solve for x
    x = 467,457.70/689.52
  6. Step 6: Final answer
    x = 677.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.