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Finding the Fourth Proportional to 975.44, 1,461.20 and 563.36

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Solution

The fourth proportional to 975.44, 1,461.20 and 563.36 is: 843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.44 : 1,461.20 = 563.36 : x
  2. Step 2: Convert to fraction form
    975.44/1,461.20 = 563.36/x
  3. Step 3: Cross multiply
    975.44x = 1,461.20 × 563.36
  4. Step 4: Simplify right side
    975.44x = 823,181.63
  5. Step 5: Solve for x
    x = 823,181.63/975.44
  6. Step 6: Final answer
    x = 843.91

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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.