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Finding the Fourth Proportional to 842.40, 1,258.56 and 696.96

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Solution

The fourth proportional to 842.40, 1,258.56 and 696.96 is: 1,041.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.40 : 1,258.56 = 696.96 : x
  2. Step 2: Convert to fraction form
    842.40/1,258.56 = 696.96/x
  3. Step 3: Cross multiply
    842.40x = 1,258.56 × 696.96
  4. Step 4: Simplify right side
    842.40x = 877,165.98
  5. Step 5: Solve for x
    x = 877,165.98/842.40
  6. Step 6: Final answer
    x = 1,041.27

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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.