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Finding the Fourth Proportional to 950.54, 1,311.80 and 635.24

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Solution

The fourth proportional to 950.54, 1,311.80 and 635.24 is: 876.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.54 : 1,311.80 = 635.24 : x
  2. Step 2: Convert to fraction form
    950.54/1,311.80 = 635.24/x
  3. Step 3: Cross multiply
    950.54x = 1,311.80 × 635.24
  4. Step 4: Simplify right side
    950.54x = 833,307.94
  5. Step 5: Solve for x
    x = 833,307.94/950.54
  6. Step 6: Final answer
    x = 876.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.