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Finding the Fourth Proportional to 1,127.72, 1,690.78 and 433.96

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Solution

The fourth proportional to 1,127.72, 1,690.78 and 433.96 is: 650.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.72 : 1,690.78 = 433.96 : x
  2. Step 2: Convert to fraction form
    1,127.72/1,690.78 = 433.96/x
  3. Step 3: Cross multiply
    1,127.72x = 1,690.78 × 433.96
  4. Step 4: Simplify right side
    1,127.72x = 733,730.89
  5. Step 5: Solve for x
    x = 733,730.89/1,127.72
  6. Step 6: Final answer
    x = 650.63

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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.