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Finding the Fourth Proportional to 813.36, 1,222.47 and 716.16

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Solution

The fourth proportional to 813.36, 1,222.47 and 716.16 is: 1,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.36 : 1,222.47 = 716.16 : x
  2. Step 2: Convert to fraction form
    813.36/1,222.47 = 716.16/x
  3. Step 3: Cross multiply
    813.36x = 1,222.47 × 716.16
  4. Step 4: Simplify right side
    813.36x = 875,484.12
  5. Step 5: Solve for x
    x = 875,484.12/813.36
  6. Step 6: Final answer
    x = 1,076.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.