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Finding the Fourth Proportional to 456.62, 629.15 and 309.02

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Solution

The fourth proportional to 456.62, 629.15 and 309.02 is: 425.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.62 : 629.15 = 309.02 : x
  2. Step 2: Convert to fraction form
    456.62/629.15 = 309.02/x
  3. Step 3: Cross multiply
    456.62x = 629.15 × 309.02
  4. Step 4: Simplify right side
    456.62x = 194,415.24
  5. Step 5: Solve for x
    x = 194,415.24/456.62
  6. Step 6: Final answer
    x = 425.77

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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.