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Finding the Fourth Proportional to 778.82, 1,075.23 and 513.68

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Solution

The fourth proportional to 778.82, 1,075.23 and 513.68 is: 709.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.82 : 1,075.23 = 513.68 : x
  2. Step 2: Convert to fraction form
    778.82/1,075.23 = 513.68/x
  3. Step 3: Cross multiply
    778.82x = 1,075.23 × 513.68
  4. Step 4: Simplify right side
    778.82x = 552,318.77
  5. Step 5: Solve for x
    x = 552,318.77/778.82
  6. Step 6: Final answer
    x = 709.18

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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.