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Finding the Fourth Proportional to 1,139.03, 1,571.30 and 713.58

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Solution

The fourth proportional to 1,139.03, 1,571.30 and 713.58 is: 984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.03 : 1,571.30 = 713.58 : x
  2. Step 2: Convert to fraction form
    1,139.03/1,571.30 = 713.58/x
  3. Step 3: Cross multiply
    1,139.03x = 1,571.30 × 713.58
  4. Step 4: Simplify right side
    1,139.03x = 1,121,248.25
  5. Step 5: Solve for x
    x = 1,121,248.25/1,139.03
  6. Step 6: Final answer
    x = 984.39

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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.