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Finding the Fourth Proportional to 480.15, 663.26 and 427.91

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Solution

The fourth proportional to 480.15, 663.26 and 427.91 is: 591.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.15 : 663.26 = 427.91 : x
  2. Step 2: Convert to fraction form
    480.15/663.26 = 427.91/x
  3. Step 3: Cross multiply
    480.15x = 663.26 × 427.91
  4. Step 4: Simplify right side
    480.15x = 283,810.13
  5. Step 5: Solve for x
    x = 283,810.13/480.15
  6. Step 6: Final answer
    x = 591.09

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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.