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Finding the Fourth Proportional to 774.61, 1,161.46 and 312.01

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Solution

The fourth proportional to 774.61, 1,161.46 and 312.01 is: 467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.61 : 1,161.46 = 312.01 : x
  2. Step 2: Convert to fraction form
    774.61/1,161.46 = 312.01/x
  3. Step 3: Cross multiply
    774.61x = 1,161.46 × 312.01
  4. Step 4: Simplify right side
    774.61x = 362,387.13
  5. Step 5: Solve for x
    x = 362,387.13/774.61
  6. Step 6: Final answer
    x = 467.83

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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.