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Finding the Fourth Proportional to 811.78, 1,119.36 and 549.34

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Solution

The fourth proportional to 811.78, 1,119.36 and 549.34 is: 757.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.78 : 1,119.36 = 549.34 : x
  2. Step 2: Convert to fraction form
    811.78/1,119.36 = 549.34/x
  3. Step 3: Cross multiply
    811.78x = 1,119.36 × 549.34
  4. Step 4: Simplify right side
    811.78x = 614,909.22
  5. Step 5: Solve for x
    x = 614,909.22/811.78
  6. Step 6: Final answer
    x = 757.48

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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.