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Finding the Fourth Proportional to 1,291.39, 1,782.10 and 701.92

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Solution

The fourth proportional to 1,291.39, 1,782.10 and 701.92 is: 968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.39 : 1,782.10 = 701.92 : x
  2. Step 2: Convert to fraction form
    1,291.39/1,782.10 = 701.92/x
  3. Step 3: Cross multiply
    1,291.39x = 1,782.10 × 701.92
  4. Step 4: Simplify right side
    1,291.39x = 1,250,891.63
  5. Step 5: Solve for x
    x = 1,250,891.63/1,291.39
  6. Step 6: Final answer
    x = 968.64

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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.