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Finding the Fourth Proportional to 778.89, 1,075.02 and 464.34

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Solution

The fourth proportional to 778.89, 1,075.02 and 464.34 is: 640.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.89 : 1,075.02 = 464.34 : x
  2. Step 2: Convert to fraction form
    778.89/1,075.02 = 464.34/x
  3. Step 3: Cross multiply
    778.89x = 1,075.02 × 464.34
  4. Step 4: Simplify right side
    778.89x = 499,177.08
  5. Step 5: Solve for x
    x = 499,177.08/778.89
  6. Step 6: Final answer
    x = 640.88

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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.