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Finding the Fourth Proportional to 580.45, 869.15 and 546.74

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Solution

The fourth proportional to 580.45, 869.15 and 546.74 is: 818.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.45 : 869.15 = 546.74 : x
  2. Step 2: Convert to fraction form
    580.45/869.15 = 546.74/x
  3. Step 3: Cross multiply
    580.45x = 869.15 × 546.74
  4. Step 4: Simplify right side
    580.45x = 475,196.09
  5. Step 5: Solve for x
    x = 475,196.09/580.45
  6. Step 6: Final answer
    x = 818.67

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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.