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Finding the Fourth Proportional to 774.14, 1,068.31 and 442.57

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Solution

The fourth proportional to 774.14, 1,068.31 and 442.57 is: 610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.14 : 1,068.31 = 442.57 : x
  2. Step 2: Convert to fraction form
    774.14/1,068.31 = 442.57/x
  3. Step 3: Cross multiply
    774.14x = 1,068.31 × 442.57
  4. Step 4: Simplify right side
    774.14x = 472,801.96
  5. Step 5: Solve for x
    x = 472,801.96/774.14
  6. Step 6: Final answer
    x = 610.74

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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.