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Finding the Fourth Proportional to 778.87, 1,075.25 and 568.81

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Solution

The fourth proportional to 778.87, 1,075.25 and 568.81 is: 785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.87 : 1,075.25 = 568.81 : x
  2. Step 2: Convert to fraction form
    778.87/1,075.25 = 568.81/x
  3. Step 3: Cross multiply
    778.87x = 1,075.25 × 568.81
  4. Step 4: Simplify right side
    778.87x = 611,612.95
  5. Step 5: Solve for x
    x = 611,612.95/778.87
  6. Step 6: Final answer
    x = 785.26

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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.