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Finding the Fourth Proportional to 641.34, 959.76 and 524.34

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Solution

The fourth proportional to 641.34, 959.76 and 524.34 is: 784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.34 : 959.76 = 524.34 : x
  2. Step 2: Convert to fraction form
    641.34/959.76 = 524.34/x
  3. Step 3: Cross multiply
    641.34x = 959.76 × 524.34
  4. Step 4: Simplify right side
    641.34x = 503,240.56
  5. Step 5: Solve for x
    x = 503,240.56/641.34
  6. Step 6: Final answer
    x = 784.67

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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.