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Finding the Fourth Proportional to 457.48, 682.37 and 427.24

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Solution

The fourth proportional to 457.48, 682.37 and 427.24 is: 637.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.48 : 682.37 = 427.24 : x
  2. Step 2: Convert to fraction form
    457.48/682.37 = 427.24/x
  3. Step 3: Cross multiply
    457.48x = 682.37 × 427.24
  4. Step 4: Simplify right side
    457.48x = 291,535.76
  5. Step 5: Solve for x
    x = 291,535.76/457.48
  6. Step 6: Final answer
    x = 637.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.