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Finding the Fourth Proportional to 659.86, 905.57 and 597.56

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Solution

The fourth proportional to 659.86, 905.57 and 597.56 is: 820.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.86 : 905.57 = 597.56 : x
  2. Step 2: Convert to fraction form
    659.86/905.57 = 597.56/x
  3. Step 3: Cross multiply
    659.86x = 905.57 × 597.56
  4. Step 4: Simplify right side
    659.86x = 541,129.38
  5. Step 5: Solve for x
    x = 541,129.38/659.86
  6. Step 6: Final answer
    x = 820.07

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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.