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Finding the Fourth Proportional to 920.64, 1,379.36 and 631.04

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Solution

The fourth proportional to 920.64, 1,379.36 and 631.04 is: 945.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.64 : 1,379.36 = 631.04 : x
  2. Step 2: Convert to fraction form
    920.64/1,379.36 = 631.04/x
  3. Step 3: Cross multiply
    920.64x = 1,379.36 × 631.04
  4. Step 4: Simplify right side
    920.64x = 870,431.33
  5. Step 5: Solve for x
    x = 870,431.33/920.64
  6. Step 6: Final answer
    x = 945.46

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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.