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Finding the Fourth Proportional to 1,343.50, 2,015.25 and 477.82

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Solution

The fourth proportional to 1,343.50, 2,015.25 and 477.82 is: 716.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.50 : 2,015.25 = 477.82 : x
  2. Step 2: Convert to fraction form
    1,343.50/2,015.25 = 477.82/x
  3. Step 3: Cross multiply
    1,343.50x = 2,015.25 × 477.82
  4. Step 4: Simplify right side
    1,343.50x = 962,926.76
  5. Step 5: Solve for x
    x = 962,926.76/1,343.50
  6. Step 6: Final answer
    x = 716.73

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.