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Finding the Fourth Proportional to 521.25, 720.35 and 427.85

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Solution

The fourth proportional to 521.25, 720.35 and 427.85 is: 591.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.25 : 720.35 = 427.85 : x
  2. Step 2: Convert to fraction form
    521.25/720.35 = 427.85/x
  3. Step 3: Cross multiply
    521.25x = 720.35 × 427.85
  4. Step 4: Simplify right side
    521.25x = 308,196.01
  5. Step 5: Solve for x
    x = 308,196.01/521.25
  6. Step 6: Final answer
    x = 591.26

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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.