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Finding the Fourth Proportional to 773.52, 1,160.07 and 286.50

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Solution

The fourth proportional to 773.52, 1,160.07 and 286.50 is: 429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.52 : 1,160.07 = 286.50 : x
  2. Step 2: Convert to fraction form
    773.52/1,160.07 = 286.50/x
  3. Step 3: Cross multiply
    773.52x = 1,160.07 × 286.50
  4. Step 4: Simplify right side
    773.52x = 332,360.06
  5. Step 5: Solve for x
    x = 332,360.06/773.52
  6. Step 6: Final answer
    x = 429.67

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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.