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Finding the Fourth Proportional to 964.44, 1,438.34 and 898.83

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Solution

The fourth proportional to 964.44, 1,438.34 and 898.83 is: 1,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.44 : 1,438.34 = 898.83 : x
  2. Step 2: Convert to fraction form
    964.44/1,438.34 = 898.83/x
  3. Step 3: Cross multiply
    964.44x = 1,438.34 × 898.83
  4. Step 4: Simplify right side
    964.44x = 1,292,818.65
  5. Step 5: Solve for x
    x = 1,292,818.65/964.44
  6. Step 6: Final answer
    x = 1,340.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.