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Finding the Fourth Proportional to 1,284.48, 1,771.74 and 842.76

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Solution

The fourth proportional to 1,284.48, 1,771.74 and 842.76 is: 1,162.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.48 : 1,771.74 = 842.76 : x
  2. Step 2: Convert to fraction form
    1,284.48/1,771.74 = 842.76/x
  3. Step 3: Cross multiply
    1,284.48x = 1,771.74 × 842.76
  4. Step 4: Simplify right side
    1,284.48x = 1,493,151.60
  5. Step 5: Solve for x
    x = 1,493,151.60/1,284.48
  6. Step 6: Final answer
    x = 1,162.46

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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.