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Finding the Fourth Proportional to 426.45, 639.99 and 317.01

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Solution

The fourth proportional to 426.45, 639.99 and 317.01 is: 475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.45 : 639.99 = 317.01 : x
  2. Step 2: Convert to fraction form
    426.45/639.99 = 317.01/x
  3. Step 3: Cross multiply
    426.45x = 639.99 × 317.01
  4. Step 4: Simplify right side
    426.45x = 202,883.23
  5. Step 5: Solve for x
    x = 202,883.23/426.45
  6. Step 6: Final answer
    x = 475.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.