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Finding the Fourth Proportional to 1,029.31, 1,420.46 and 563.56

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Solution

The fourth proportional to 1,029.31, 1,420.46 and 563.56 is: 777.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.31 : 1,420.46 = 563.56 : x
  2. Step 2: Convert to fraction form
    1,029.31/1,420.46 = 563.56/x
  3. Step 3: Cross multiply
    1,029.31x = 1,420.46 × 563.56
  4. Step 4: Simplify right side
    1,029.31x = 800,514.44
  5. Step 5: Solve for x
    x = 800,514.44/1,029.31
  6. Step 6: Final answer
    x = 777.72

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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.