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Finding the Fourth Proportional to 821.28, 1,130.82 and 716.38

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Solution

The fourth proportional to 821.28, 1,130.82 and 716.38 is: 986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.28 : 1,130.82 = 716.38 : x
  2. Step 2: Convert to fraction form
    821.28/1,130.82 = 716.38/x
  3. Step 3: Cross multiply
    821.28x = 1,130.82 × 716.38
  4. Step 4: Simplify right side
    821.28x = 810,096.83
  5. Step 5: Solve for x
    x = 810,096.83/821.28
  6. Step 6: Final answer
    x = 986.38

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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.