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Finding the Fourth Proportional to 525.26, 725.49 and 427.40

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Solution

The fourth proportional to 525.26, 725.49 and 427.40 is: 590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.26 : 725.49 = 427.40 : x
  2. Step 2: Convert to fraction form
    525.26/725.49 = 427.40/x
  3. Step 3: Cross multiply
    525.26x = 725.49 × 427.40
  4. Step 4: Simplify right side
    525.26x = 310,074.43
  5. Step 5: Solve for x
    x = 310,074.43/525.26
  6. Step 6: Final answer
    x = 590.33

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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.