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Finding the Fourth Proportional to 964.04, 1,438.48 and 905.26

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Solution

The fourth proportional to 964.04, 1,438.48 and 905.26 is: 1,350.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.04 : 1,438.48 = 905.26 : x
  2. Step 2: Convert to fraction form
    964.04/1,438.48 = 905.26/x
  3. Step 3: Cross multiply
    964.04x = 1,438.48 × 905.26
  4. Step 4: Simplify right side
    964.04x = 1,302,204.26
  5. Step 5: Solve for x
    x = 1,302,204.26/964.04
  6. Step 6: Final answer
    x = 1,350.78

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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.