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Finding the Fourth Proportional to 774.26, 1,161.45 and 312.02

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Solution

The fourth proportional to 774.26, 1,161.45 and 312.02 is: 468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.26 : 1,161.45 = 312.02 : x
  2. Step 2: Convert to fraction form
    774.26/1,161.45 = 312.02/x
  3. Step 3: Cross multiply
    774.26x = 1,161.45 × 312.02
  4. Step 4: Simplify right side
    774.26x = 362,395.63
  5. Step 5: Solve for x
    x = 362,395.63/774.26
  6. Step 6: Final answer
    x = 468.05

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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.