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Finding the Fourth Proportional to 776.50, 1,071.48 and 444.94

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Solution

The fourth proportional to 776.50, 1,071.48 and 444.94 is: 613.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.50 : 1,071.48 = 444.94 : x
  2. Step 2: Convert to fraction form
    776.50/1,071.48 = 444.94/x
  3. Step 3: Cross multiply
    776.50x = 1,071.48 × 444.94
  4. Step 4: Simplify right side
    776.50x = 476,744.31
  5. Step 5: Solve for x
    x = 476,744.31/776.50
  6. Step 6: Final answer
    x = 613.97

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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.