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Finding the Fourth Proportional to 964.94, 1,448.85 and 554.54

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Solution

The fourth proportional to 964.94, 1,448.85 and 554.54 is: 832.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.94 : 1,448.85 = 554.54 : x
  2. Step 2: Convert to fraction form
    964.94/1,448.85 = 554.54/x
  3. Step 3: Cross multiply
    964.94x = 1,448.85 × 554.54
  4. Step 4: Simplify right side
    964.94x = 803,445.28
  5. Step 5: Solve for x
    x = 803,445.28/964.94
  6. Step 6: Final answer
    x = 832.64

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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.