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Finding the Fourth Proportional to 712.41, 983.22 and 450.38

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Solution

The fourth proportional to 712.41, 983.22 and 450.38 is: 621.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.41 : 983.22 = 450.38 : x
  2. Step 2: Convert to fraction form
    712.41/983.22 = 450.38/x
  3. Step 3: Cross multiply
    712.41x = 983.22 × 450.38
  4. Step 4: Simplify right side
    712.41x = 442,822.62
  5. Step 5: Solve for x
    x = 442,822.62/712.41
  6. Step 6: Final answer
    x = 621.58

Related Problems

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Half scale
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Double scale
Find fourth proportional to 713.41, 984.60 and 451.38
Similar ratio
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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.