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Finding the Fourth Proportional to 931.84, 1,396.04 and 778.75

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Solution

The fourth proportional to 931.84, 1,396.04 and 778.75 is: 1,166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.84 : 1,396.04 = 778.75 : x
  2. Step 2: Convert to fraction form
    931.84/1,396.04 = 778.75/x
  3. Step 3: Cross multiply
    931.84x = 1,396.04 × 778.75
  4. Step 4: Simplify right side
    931.84x = 1,087,158.77
  5. Step 5: Solve for x
    x = 1,087,158.77/931.84
  6. Step 6: Final answer
    x = 1,166.68

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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.