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Finding the Fourth Proportional to 1,253.99, 1,729.64 and 860.33

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Solution

The fourth proportional to 1,253.99, 1,729.64 and 860.33 is: 1,186.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.99 : 1,729.64 = 860.33 : x
  2. Step 2: Convert to fraction form
    1,253.99/1,729.64 = 860.33/x
  3. Step 3: Cross multiply
    1,253.99x = 1,729.64 × 860.33
  4. Step 4: Simplify right side
    1,253.99x = 1,488,057.93
  5. Step 5: Solve for x
    x = 1,488,057.93/1,253.99
  6. Step 6: Final answer
    x = 1,186.66

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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.