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Finding the Fourth Proportional to 975.63, 1,461.33 and 821.88

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Solution

The fourth proportional to 975.63, 1,461.33 and 821.88 is: 1,231.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.63 : 1,461.33 = 821.88 : x
  2. Step 2: Convert to fraction form
    975.63/1,461.33 = 821.88/x
  3. Step 3: Cross multiply
    975.63x = 1,461.33 × 821.88
  4. Step 4: Simplify right side
    975.63x = 1,201,037.90
  5. Step 5: Solve for x
    x = 1,201,037.90/975.63
  6. Step 6: Final answer
    x = 1,231.04

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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.