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Finding the Fourth Proportional to 757.62, 1,040.99 and 602.10

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Solution

The fourth proportional to 757.62, 1,040.99 and 602.10 is: 827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.62 : 1,040.99 = 602.10 : x
  2. Step 2: Convert to fraction form
    757.62/1,040.99 = 602.10/x
  3. Step 3: Cross multiply
    757.62x = 1,040.99 × 602.10
  4. Step 4: Simplify right side
    757.62x = 626,777.07
  5. Step 5: Solve for x
    x = 626,777.07/757.62
  6. Step 6: Final answer
    x = 827.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.