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Finding the Fourth Proportional to 852.45, 1,175.37 and 727.71

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Solution

The fourth proportional to 852.45, 1,175.37 and 727.71 is: 1,003.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.45 : 1,175.37 = 727.71 : x
  2. Step 2: Convert to fraction form
    852.45/1,175.37 = 727.71/x
  3. Step 3: Cross multiply
    852.45x = 1,175.37 × 727.71
  4. Step 4: Simplify right side
    852.45x = 855,328.50
  5. Step 5: Solve for x
    x = 855,328.50/852.45
  6. Step 6: Final answer
    x = 1,003.38

Related Problems

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Half scale
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Double scale
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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.