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Finding the Fourth Proportional to 712.95, 984.36 and 447.51

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Solution

The fourth proportional to 712.95, 984.36 and 447.51 is: 617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.95 : 984.36 = 447.51 : x
  2. Step 2: Convert to fraction form
    712.95/984.36 = 447.51/x
  3. Step 3: Cross multiply
    712.95x = 984.36 × 447.51
  4. Step 4: Simplify right side
    712.95x = 440,510.94
  5. Step 5: Solve for x
    x = 440,510.94/712.95
  6. Step 6: Final answer
    x = 617.87

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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.