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Finding the Fourth Proportional to 776.90, 1,072.50 and 511.63

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Solution

The fourth proportional to 776.90, 1,072.50 and 511.63 is: 706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.90 : 1,072.50 = 511.63 : x
  2. Step 2: Convert to fraction form
    776.90/1,072.50 = 511.63/x
  3. Step 3: Cross multiply
    776.90x = 1,072.50 × 511.63
  4. Step 4: Simplify right side
    776.90x = 548,723.18
  5. Step 5: Solve for x
    x = 548,723.18/776.90
  6. Step 6: Final answer
    x = 706.30

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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.