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Finding the Fourth Proportional to 712.76, 983.73 and 447.32

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Solution

The fourth proportional to 712.76, 983.73 and 447.32 is: 617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.76 : 983.73 = 447.32 : x
  2. Step 2: Convert to fraction form
    712.76/983.73 = 447.32/x
  3. Step 3: Cross multiply
    712.76x = 983.73 × 447.32
  4. Step 4: Simplify right side
    712.76x = 440,037.18
  5. Step 5: Solve for x
    x = 440,037.18/712.76
  6. Step 6: Final answer
    x = 617.38

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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.