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Finding the Fourth Proportional to 1,442.71, 1,991.09 and 883.55

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Solution

The fourth proportional to 1,442.71, 1,991.09 and 883.55 is: 1,219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.71 : 1,991.09 = 883.55 : x
  2. Step 2: Convert to fraction form
    1,442.71/1,991.09 = 883.55/x
  3. Step 3: Cross multiply
    1,442.71x = 1,991.09 × 883.55
  4. Step 4: Simplify right side
    1,442.71x = 1,759,223.15
  5. Step 5: Solve for x
    x = 1,759,223.15/1,442.71
  6. Step 6: Final answer
    x = 1,219.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.