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Finding the Fourth Proportional to 774.52, 1,068.68 and 459.64

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Solution

The fourth proportional to 774.52, 1,068.68 and 459.64 is: 634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.52 : 1,068.68 = 459.64 : x
  2. Step 2: Convert to fraction form
    774.52/1,068.68 = 459.64/x
  3. Step 3: Cross multiply
    774.52x = 1,068.68 × 459.64
  4. Step 4: Simplify right side
    774.52x = 491,208.08
  5. Step 5: Solve for x
    x = 491,208.08/774.52
  6. Step 6: Final answer
    x = 634.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.