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Finding the Fourth Proportional to 459.06, 629.76 and 431.10

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Solution

The fourth proportional to 459.06, 629.76 and 431.10 is: 591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.06 : 629.76 = 431.10 : x
  2. Step 2: Convert to fraction form
    459.06/629.76 = 431.10/x
  3. Step 3: Cross multiply
    459.06x = 629.76 × 431.10
  4. Step 4: Simplify right side
    459.06x = 271,489.54
  5. Step 5: Solve for x
    x = 271,489.54/459.06
  6. Step 6: Final answer
    x = 591.40

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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.