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Finding the Fourth Proportional to 569.53, 854.30 and 136.69

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Solution

The fourth proportional to 569.53, 854.30 and 136.69 is: 205.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.53 : 854.30 = 136.69 : x
  2. Step 2: Convert to fraction form
    569.53/854.30 = 136.69/x
  3. Step 3: Cross multiply
    569.53x = 854.30 × 136.69
  4. Step 4: Simplify right side
    569.53x = 116,771.70
  5. Step 5: Solve for x
    x = 116,771.70/569.53
  6. Step 6: Final answer
    x = 205.03

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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.