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Finding the Fourth Proportional to 1,250.51, 1,726.38 and 984.42

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Solution

The fourth proportional to 1,250.51, 1,726.38 and 984.42 is: 1,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.51 : 1,726.38 = 984.42 : x
  2. Step 2: Convert to fraction form
    1,250.51/1,726.38 = 984.42/x
  3. Step 3: Cross multiply
    1,250.51x = 1,726.38 × 984.42
  4. Step 4: Simplify right side
    1,250.51x = 1,699,483.00
  5. Step 5: Solve for x
    x = 1,699,483.00/1,250.51
  6. Step 6: Final answer
    x = 1,359.04

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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.