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Finding the Fourth Proportional to 829.56, 1,152.30 and 816.33

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Solution

The fourth proportional to 829.56, 1,152.30 and 816.33 is: 1,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.56 : 1,152.30 = 816.33 : x
  2. Step 2: Convert to fraction form
    829.56/1,152.30 = 816.33/x
  3. Step 3: Cross multiply
    829.56x = 1,152.30 × 816.33
  4. Step 4: Simplify right side
    829.56x = 940,657.06
  5. Step 5: Solve for x
    x = 940,657.06/829.56
  6. Step 6: Final answer
    x = 1,133.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.