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Finding the Fourth Proportional to 1,128.59, 1,690.64 and 883.97

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Solution

The fourth proportional to 1,128.59, 1,690.64 and 883.97 is: 1,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.59 : 1,690.64 = 883.97 : x
  2. Step 2: Convert to fraction form
    1,128.59/1,690.64 = 883.97/x
  3. Step 3: Cross multiply
    1,128.59x = 1,690.64 × 883.97
  4. Step 4: Simplify right side
    1,128.59x = 1,494,475.04
  5. Step 5: Solve for x
    x = 1,494,475.04/1,128.59
  6. Step 6: Final answer
    x = 1,324.20

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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.