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Finding the Fourth Proportional to 964.54, 1,439.23 and 905.76

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Solution

The fourth proportional to 964.54, 1,439.23 and 905.76 is: 1,351.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.54 : 1,439.23 = 905.76 : x
  2. Step 2: Convert to fraction form
    964.54/1,439.23 = 905.76/x
  3. Step 3: Cross multiply
    964.54x = 1,439.23 × 905.76
  4. Step 4: Simplify right side
    964.54x = 1,303,594.70
  5. Step 5: Solve for x
    x = 1,303,594.70/964.54
  6. Step 6: Final answer
    x = 1,351.52

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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.