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Finding the Fourth Proportional to 580.91, 869.96 and 450.70

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Solution

The fourth proportional to 580.91, 869.96 and 450.70 is: 674.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.91 : 869.96 = 450.70 : x
  2. Step 2: Convert to fraction form
    580.91/869.96 = 450.70/x
  3. Step 3: Cross multiply
    580.91x = 869.96 × 450.70
  4. Step 4: Simplify right side
    580.91x = 392,089.92
  5. Step 5: Solve for x
    x = 392,089.92/580.91
  6. Step 6: Final answer
    x = 674.96

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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.