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Finding the Fourth Proportional to 1,071.57, 1,478.26 and 673.04

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Solution

The fourth proportional to 1,071.57, 1,478.26 and 673.04 is: 928.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.57 : 1,478.26 = 673.04 : x
  2. Step 2: Convert to fraction form
    1,071.57/1,478.26 = 673.04/x
  3. Step 3: Cross multiply
    1,071.57x = 1,478.26 × 673.04
  4. Step 4: Simplify right side
    1,071.57x = 994,928.11
  5. Step 5: Solve for x
    x = 994,928.11/1,071.57
  6. Step 6: Final answer
    x = 928.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.