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Finding the Fourth Proportional to 961.59, 1,441.34 and 632.67

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Solution

The fourth proportional to 961.59, 1,441.34 and 632.67 is: 948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.59 : 1,441.34 = 632.67 : x
  2. Step 2: Convert to fraction form
    961.59/1,441.34 = 632.67/x
  3. Step 3: Cross multiply
    961.59x = 1,441.34 × 632.67
  4. Step 4: Simplify right side
    961.59x = 911,892.58
  5. Step 5: Solve for x
    x = 911,892.58/961.59
  6. Step 6: Final answer
    x = 948.32

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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.