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Finding the Fourth Proportional to 860.45, 1,187.48 and 829.47

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Solution

The fourth proportional to 860.45, 1,187.48 and 829.47 is: 1,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.45 : 1,187.48 = 829.47 : x
  2. Step 2: Convert to fraction form
    860.45/1,187.48 = 829.47/x
  3. Step 3: Cross multiply
    860.45x = 1,187.48 × 829.47
  4. Step 4: Simplify right side
    860.45x = 984,979.04
  5. Step 5: Solve for x
    x = 984,979.04/860.45
  6. Step 6: Final answer
    x = 1,144.73

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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.