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Finding the Fourth Proportional to 1,047.44, 1,445.49 and 627.86

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Solution

The fourth proportional to 1,047.44, 1,445.49 and 627.86 is: 866.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.44 : 1,445.49 = 627.86 : x
  2. Step 2: Convert to fraction form
    1,047.44/1,445.49 = 627.86/x
  3. Step 3: Cross multiply
    1,047.44x = 1,445.49 × 627.86
  4. Step 4: Simplify right side
    1,047.44x = 907,558.12
  5. Step 5: Solve for x
    x = 907,558.12/1,047.44
  6. Step 6: Final answer
    x = 866.46

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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.