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Finding the Fourth Proportional to 774.41, 1,068.56 and 494.89

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Solution

The fourth proportional to 774.41, 1,068.56 and 494.89 is: 682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.41 : 1,068.56 = 494.89 : x
  2. Step 2: Convert to fraction form
    774.41/1,068.56 = 494.89/x
  3. Step 3: Cross multiply
    774.41x = 1,068.56 × 494.89
  4. Step 4: Simplify right side
    774.41x = 528,816.37
  5. Step 5: Solve for x
    x = 528,816.37/774.41
  6. Step 6: Final answer
    x = 682.87

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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.