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Finding the Fourth Proportional to 776.40, 1,071.56 and 693.96

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Solution

The fourth proportional to 776.40, 1,071.56 and 693.96 is: 957.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.40 : 1,071.56 = 693.96 : x
  2. Step 2: Convert to fraction form
    776.40/1,071.56 = 693.96/x
  3. Step 3: Cross multiply
    776.40x = 1,071.56 × 693.96
  4. Step 4: Simplify right side
    776.40x = 743,610.95
  5. Step 5: Solve for x
    x = 743,610.95/776.40
  6. Step 6: Final answer
    x = 957.77

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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.