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Finding the Fourth Proportional to 1,161.96, 1,742.94 and 340.25

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Solution

The fourth proportional to 1,161.96, 1,742.94 and 340.25 is: 510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.96 : 1,742.94 = 340.25 : x
  2. Step 2: Convert to fraction form
    1,161.96/1,742.94 = 340.25/x
  3. Step 3: Cross multiply
    1,161.96x = 1,742.94 × 340.25
  4. Step 4: Simplify right side
    1,161.96x = 593,026.62
  5. Step 5: Solve for x
    x = 593,026.62/1,161.96
  6. Step 6: Final answer
    x = 510.37

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.