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Finding the Fourth Proportional to 712.38, 983.27 and 464.38

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Solution

The fourth proportional to 712.38, 983.27 and 464.38 is: 640.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.38 : 983.27 = 464.38 : x
  2. Step 2: Convert to fraction form
    712.38/983.27 = 464.38/x
  3. Step 3: Cross multiply
    712.38x = 983.27 × 464.38
  4. Step 4: Simplify right side
    712.38x = 456,610.92
  5. Step 5: Solve for x
    x = 456,610.92/712.38
  6. Step 6: Final answer
    x = 640.97

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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.