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Finding the Fourth Proportional to 712.98, 983.45 and 461.23

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Solution

The fourth proportional to 712.98, 983.45 and 461.23 is: 636.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.98 : 983.45 = 461.23 : x
  2. Step 2: Convert to fraction form
    712.98/983.45 = 461.23/x
  3. Step 3: Cross multiply
    712.98x = 983.45 × 461.23
  4. Step 4: Simplify right side
    712.98x = 453,596.64
  5. Step 5: Solve for x
    x = 453,596.64/712.98
  6. Step 6: Final answer
    x = 636.20

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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.