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Finding the Fourth Proportional to 580.19, 869.00 and 332.82

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Solution

The fourth proportional to 580.19, 869.00 and 332.82 is: 498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.19 : 869.00 = 332.82 : x
  2. Step 2: Convert to fraction form
    580.19/869.00 = 332.82/x
  3. Step 3: Cross multiply
    580.19x = 869.00 × 332.82
  4. Step 4: Simplify right side
    580.19x = 289,218.92
  5. Step 5: Solve for x
    x = 289,218.92/580.19
  6. Step 6: Final answer
    x = 498.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.