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Finding the Fourth Proportional to 776.79, 1,165.50 and 289.98

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Solution

The fourth proportional to 776.79, 1,165.50 and 289.98 is: 435.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.79 : 1,165.50 = 289.98 : x
  2. Step 2: Convert to fraction form
    776.79/1,165.50 = 289.98/x
  3. Step 3: Cross multiply
    776.79x = 1,165.50 × 289.98
  4. Step 4: Simplify right side
    776.79x = 337,971.69
  5. Step 5: Solve for x
    x = 337,971.69/776.79
  6. Step 6: Final answer
    x = 435.09

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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.