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Finding the Fourth Proportional to 1,071.96, 1,478.62 and 694.35

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Solution

The fourth proportional to 1,071.96, 1,478.62 and 694.35 is: 957.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.96 : 1,478.62 = 694.35 : x
  2. Step 2: Convert to fraction form
    1,071.96/1,478.62 = 694.35/x
  3. Step 3: Cross multiply
    1,071.96x = 1,478.62 × 694.35
  4. Step 4: Simplify right side
    1,071.96x = 1,026,679.80
  5. Step 5: Solve for x
    x = 1,026,679.80/1,071.96
  6. Step 6: Final answer
    x = 957.76

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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.