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Finding the Fourth Proportional to 776.34, 1,164.68 and 411.05

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Solution

The fourth proportional to 776.34, 1,164.68 and 411.05 is: 616.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.34 : 1,164.68 = 411.05 : x
  2. Step 2: Convert to fraction form
    776.34/1,164.68 = 411.05/x
  3. Step 3: Cross multiply
    776.34x = 1,164.68 × 411.05
  4. Step 4: Simplify right side
    776.34x = 478,733.84
  5. Step 5: Solve for x
    x = 478,733.84/776.34
  6. Step 6: Final answer
    x = 616.65

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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.