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Finding the Fourth Proportional to 776.57, 1,165.47 and 289.65

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Solution

The fourth proportional to 776.57, 1,165.47 and 289.65 is: 434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.57 : 1,165.47 = 289.65 : x
  2. Step 2: Convert to fraction form
    776.57/1,165.47 = 289.65/x
  3. Step 3: Cross multiply
    776.57x = 1,165.47 × 289.65
  4. Step 4: Simplify right side
    776.57x = 337,578.39
  5. Step 5: Solve for x
    x = 337,578.39/776.57
  6. Step 6: Final answer
    x = 434.70

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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.