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Finding the Fourth Proportional to 948.50, 1,425.07 and 896.05

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Solution

The fourth proportional to 948.50, 1,425.07 and 896.05 is: 1,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.50 : 1,425.07 = 896.05 : x
  2. Step 2: Convert to fraction form
    948.50/1,425.07 = 896.05/x
  3. Step 3: Cross multiply
    948.50x = 1,425.07 × 896.05
  4. Step 4: Simplify right side
    948.50x = 1,276,926.85
  5. Step 5: Solve for x
    x = 1,276,926.85/948.50
  6. Step 6: Final answer
    x = 1,346.27

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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.