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Finding the Fourth Proportional to 778.88, 1,075.36 and 499.23

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Solution

The fourth proportional to 778.88, 1,075.36 and 499.23 is: 689.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.88 : 1,075.36 = 499.23 : x
  2. Step 2: Convert to fraction form
    778.88/1,075.36 = 499.23/x
  3. Step 3: Cross multiply
    778.88x = 1,075.36 × 499.23
  4. Step 4: Simplify right side
    778.88x = 536,851.97
  5. Step 5: Solve for x
    x = 536,851.97/778.88
  6. Step 6: Final answer
    x = 689.26

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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.