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Finding the Fourth Proportional to 932.11, 1,396.44 and 785.90

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Solution

The fourth proportional to 932.11, 1,396.44 and 785.90 is: 1,177.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.11 : 1,396.44 = 785.90 : x
  2. Step 2: Convert to fraction form
    932.11/1,396.44 = 785.90/x
  3. Step 3: Cross multiply
    932.11x = 1,396.44 × 785.90
  4. Step 4: Simplify right side
    932.11x = 1,097,465.69
  5. Step 5: Solve for x
    x = 1,097,465.69/932.11
  6. Step 6: Final answer
    x = 1,177.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.