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Finding the Fourth Proportional to 457.04, 629.96 and 440.02

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Solution

The fourth proportional to 457.04, 629.96 and 440.02 is: 606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.04 : 629.96 = 440.02 : x
  2. Step 2: Convert to fraction form
    457.04/629.96 = 440.02/x
  3. Step 3: Cross multiply
    457.04x = 629.96 × 440.02
  4. Step 4: Simplify right side
    457.04x = 277,195.00
  5. Step 5: Solve for x
    x = 277,195.00/457.04
  6. Step 6: Final answer
    x = 606.50

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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.