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Finding the Fourth Proportional to 931.36, 1,396.32 and 776.92

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Solution

The fourth proportional to 931.36, 1,396.32 and 776.92 is: 1,164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.36 : 1,396.32 = 776.92 : x
  2. Step 2: Convert to fraction form
    931.36/1,396.32 = 776.92/x
  3. Step 3: Cross multiply
    931.36x = 1,396.32 × 776.92
  4. Step 4: Simplify right side
    931.36x = 1,084,828.93
  5. Step 5: Solve for x
    x = 1,084,828.93/931.36
  6. Step 6: Final answer
    x = 1,164.78

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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.