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Finding the Fourth Proportional to 664.48, 917.04 and 431.20

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Solution

The fourth proportional to 664.48, 917.04 and 431.20 is: 595.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.48 : 917.04 = 431.20 : x
  2. Step 2: Convert to fraction form
    664.48/917.04 = 431.20/x
  3. Step 3: Cross multiply
    664.48x = 917.04 × 431.20
  4. Step 4: Simplify right side
    664.48x = 395,427.65
  5. Step 5: Solve for x
    x = 395,427.65/664.48
  6. Step 6: Final answer
    x = 595.09

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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.