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Finding the Fourth Proportional to 774.21, 1,068.19 and 442.63

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Solution

The fourth proportional to 774.21, 1,068.19 and 442.63 is: 610.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.21 : 1,068.19 = 442.63 : x
  2. Step 2: Convert to fraction form
    774.21/1,068.19 = 442.63/x
  3. Step 3: Cross multiply
    774.21x = 1,068.19 × 442.63
  4. Step 4: Simplify right side
    774.21x = 472,812.94
  5. Step 5: Solve for x
    x = 472,812.94/774.21
  6. Step 6: Final answer
    x = 610.70

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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.