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Finding the Fourth Proportional to 854.19, 1,178.22 and 522.27

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Solution

The fourth proportional to 854.19, 1,178.22 and 522.27 is: 720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.19 : 1,178.22 = 522.27 : x
  2. Step 2: Convert to fraction form
    854.19/1,178.22 = 522.27/x
  3. Step 3: Cross multiply
    854.19x = 1,178.22 × 522.27
  4. Step 4: Simplify right side
    854.19x = 615,348.96
  5. Step 5: Solve for x
    x = 615,348.96/854.19
  6. Step 6: Final answer
    x = 720.39

Related Problems

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Half scale
Find fourth proportional to 1,708.38, 2,356.44 and 1,044.54
Double scale
Find fourth proportional to 855.19, 1,179.60 and 523.27
Similar ratio
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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.