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Finding the Fourth Proportional to 457.26, 628.46 and 429.18

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Solution

The fourth proportional to 457.26, 628.46 and 429.18 is: 589.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.26 : 628.46 = 429.18 : x
  2. Step 2: Convert to fraction form
    457.26/628.46 = 429.18/x
  3. Step 3: Cross multiply
    457.26x = 628.46 × 429.18
  4. Step 4: Simplify right side
    457.26x = 269,720.32
  5. Step 5: Solve for x
    x = 269,720.32/457.26
  6. Step 6: Final answer
    x = 589.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.