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Finding the Fourth Proportional to 935.44, 1,405.32 and 810.16

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Solution

The fourth proportional to 935.44, 1,405.32 and 810.16 is: 1,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.44 : 1,405.32 = 810.16 : x
  2. Step 2: Convert to fraction form
    935.44/1,405.32 = 810.16/x
  3. Step 3: Cross multiply
    935.44x = 1,405.32 × 810.16
  4. Step 4: Simplify right side
    935.44x = 1,138,534.05
  5. Step 5: Solve for x
    x = 1,138,534.05/935.44
  6. Step 6: Final answer
    x = 1,217.11

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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.