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Finding the Fourth Proportional to 813.56, 1,122.09 and 548.28

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Solution

The fourth proportional to 813.56, 1,122.09 and 548.28 is: 756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.56 : 1,122.09 = 548.28 : x
  2. Step 2: Convert to fraction form
    813.56/1,122.09 = 548.28/x
  3. Step 3: Cross multiply
    813.56x = 1,122.09 × 548.28
  4. Step 4: Simplify right side
    813.56x = 615,219.51
  5. Step 5: Solve for x
    x = 615,219.51/813.56
  6. Step 6: Final answer
    x = 756.21

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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.