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Finding the Fourth Proportional to 631.50, 949.40 and 580.28

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Solution

The fourth proportional to 631.50, 949.40 and 580.28 is: 872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.50 : 949.40 = 580.28 : x
  2. Step 2: Convert to fraction form
    631.50/949.40 = 580.28/x
  3. Step 3: Cross multiply
    631.50x = 949.40 × 580.28
  4. Step 4: Simplify right side
    631.50x = 550,910.18
  5. Step 5: Solve for x
    x = 550,910.18/631.50
  6. Step 6: Final answer
    x = 872.38

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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.