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Finding the Fourth Proportional to 431.81, 648.26 and 317.60

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Solution

The fourth proportional to 431.81, 648.26 and 317.60 is: 476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.81 : 648.26 = 317.60 : x
  2. Step 2: Convert to fraction form
    431.81/648.26 = 317.60/x
  3. Step 3: Cross multiply
    431.81x = 648.26 × 317.60
  4. Step 4: Simplify right side
    431.81x = 205,887.38
  5. Step 5: Solve for x
    x = 205,887.38/431.81
  6. Step 6: Final answer
    x = 476.80

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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.