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Finding the Fourth Proportional to 779.45, 1,075.19 and 513.86

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Solution

The fourth proportional to 779.45, 1,075.19 and 513.86 is: 708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.45 : 1,075.19 = 513.86 : x
  2. Step 2: Convert to fraction form
    779.45/1,075.19 = 513.86/x
  3. Step 3: Cross multiply
    779.45x = 1,075.19 × 513.86
  4. Step 4: Simplify right side
    779.45x = 552,489.19
  5. Step 5: Solve for x
    x = 552,489.19/779.45
  6. Step 6: Final answer
    x = 708.82

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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.