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Finding the Fourth Proportional to 665.01, 917.87 and 431.73

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Solution

The fourth proportional to 665.01, 917.87 and 431.73 is: 595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.01 : 917.87 = 431.73 : x
  2. Step 2: Convert to fraction form
    665.01/917.87 = 431.73/x
  3. Step 3: Cross multiply
    665.01x = 917.87 × 431.73
  4. Step 4: Simplify right side
    665.01x = 396,272.02
  5. Step 5: Solve for x
    x = 396,272.02/665.01
  6. Step 6: Final answer
    x = 595.89

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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.