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Finding the Fourth Proportional to 1,656.71, 2,483.44 and 791.63

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Solution

The fourth proportional to 1,656.71, 2,483.44 and 791.63 is: 1,186.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.71 : 2,483.44 = 791.63 : x
  2. Step 2: Convert to fraction form
    1,656.71/2,483.44 = 791.63/x
  3. Step 3: Cross multiply
    1,656.71x = 2,483.44 × 791.63
  4. Step 4: Simplify right side
    1,656.71x = 1,965,961.65
  5. Step 5: Solve for x
    x = 1,965,961.65/1,656.71
  6. Step 6: Final answer
    x = 1,186.67

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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.