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Finding the Fourth Proportional to 659.42, 905.92 and 590.38

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Solution

The fourth proportional to 659.42, 905.92 and 590.38 is: 811.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.42 : 905.92 = 590.38 : x
  2. Step 2: Convert to fraction form
    659.42/905.92 = 590.38/x
  3. Step 3: Cross multiply
    659.42x = 905.92 × 590.38
  4. Step 4: Simplify right side
    659.42x = 534,837.05
  5. Step 5: Solve for x
    x = 534,837.05/659.42
  6. Step 6: Final answer
    x = 811.07

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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.