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Finding the Fourth Proportional to 776.88, 1,165.32 and 289.67

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Solution

The fourth proportional to 776.88, 1,165.32 and 289.67 is: 434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.88 : 1,165.32 = 289.67 : x
  2. Step 2: Convert to fraction form
    776.88/1,165.32 = 289.67/x
  3. Step 3: Cross multiply
    776.88x = 1,165.32 × 289.67
  4. Step 4: Simplify right side
    776.88x = 337,552.42
  5. Step 5: Solve for x
    x = 337,552.42/776.88
  6. Step 6: Final answer
    x = 434.50

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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.