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Finding the Fourth Proportional to 712.43, 983.23 and 689.75

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Solution

The fourth proportional to 712.43, 983.23 and 689.75 is: 951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.43 : 983.23 = 689.75 : x
  2. Step 2: Convert to fraction form
    712.43/983.23 = 689.75/x
  3. Step 3: Cross multiply
    712.43x = 983.23 × 689.75
  4. Step 4: Simplify right side
    712.43x = 678,182.89
  5. Step 5: Solve for x
    x = 678,182.89/712.43
  6. Step 6: Final answer
    x = 951.93

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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.