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Finding the Fourth Proportional to 1,291.30, 1,782.02 and 701.87

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Solution

The fourth proportional to 1,291.30, 1,782.02 and 701.87 is: 968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.30 : 1,782.02 = 701.87 : x
  2. Step 2: Convert to fraction form
    1,291.30/1,782.02 = 701.87/x
  3. Step 3: Cross multiply
    1,291.30x = 1,782.02 × 701.87
  4. Step 4: Simplify right side
    1,291.30x = 1,250,739.22
  5. Step 5: Solve for x
    x = 1,250,739.22/1,291.30
  6. Step 6: Final answer
    x = 968.59

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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.