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Finding the Fourth Proportional to 633.60, 944.93 and 580.46

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Solution

The fourth proportional to 633.60, 944.93 and 580.46 is: 865.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.60 : 944.93 = 580.46 : x
  2. Step 2: Convert to fraction form
    633.60/944.93 = 580.46/x
  3. Step 3: Cross multiply
    633.60x = 944.93 × 580.46
  4. Step 4: Simplify right side
    633.60x = 548,486.44
  5. Step 5: Solve for x
    x = 548,486.44/633.60
  6. Step 6: Final answer
    x = 865.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.