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Finding the Fourth Proportional to 712.44, 983.22 and 689.76

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Solution

The fourth proportional to 712.44, 983.22 and 689.76 is: 951.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.44 : 983.22 = 689.76 : x
  2. Step 2: Convert to fraction form
    712.44/983.22 = 689.76/x
  3. Step 3: Cross multiply
    712.44x = 983.22 × 689.76
  4. Step 4: Simplify right side
    712.44x = 678,185.83
  5. Step 5: Solve for x
    x = 678,185.83/712.44
  6. Step 6: Final answer
    x = 951.92

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1.5x scale

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.