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Finding the Fourth Proportional to 1,291.97, 1,782.65 and 820.01

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Solution

The fourth proportional to 1,291.97, 1,782.65 and 820.01 is: 1,131.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.97 : 1,782.65 = 820.01 : x
  2. Step 2: Convert to fraction form
    1,291.97/1,782.65 = 820.01/x
  3. Step 3: Cross multiply
    1,291.97x = 1,782.65 × 820.01
  4. Step 4: Simplify right side
    1,291.97x = 1,461,777.81
  5. Step 5: Solve for x
    x = 1,461,777.81/1,291.97
  6. Step 6: Final answer
    x = 1,131.44

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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.