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Finding the Fourth Proportional to 1,163.47, 1,743.98 and 383.27

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Solution

The fourth proportional to 1,163.47, 1,743.98 and 383.27 is: 574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.47 : 1,743.98 = 383.27 : x
  2. Step 2: Convert to fraction form
    1,163.47/1,743.98 = 383.27/x
  3. Step 3: Cross multiply
    1,163.47x = 1,743.98 × 383.27
  4. Step 4: Simplify right side
    1,163.47x = 668,415.21
  5. Step 5: Solve for x
    x = 668,415.21/1,163.47
  6. Step 6: Final answer
    x = 574.50

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.