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Finding the Fourth Proportional to 659.11, 904.55 and 596.80

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Solution

The fourth proportional to 659.11, 904.55 and 596.80 is: 819.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.11 : 904.55 = 596.80 : x
  2. Step 2: Convert to fraction form
    659.11/904.55 = 596.80/x
  3. Step 3: Cross multiply
    659.11x = 904.55 × 596.80
  4. Step 4: Simplify right side
    659.11x = 539,834.43
  5. Step 5: Solve for x
    x = 539,834.43/659.11
  6. Step 6: Final answer
    x = 819.04

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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.