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Finding the Fourth Proportional to 782.98, 1,175.25 and 372.43

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Solution

The fourth proportional to 782.98, 1,175.25 and 372.43 is: 559.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.98 : 1,175.25 = 372.43 : x
  2. Step 2: Convert to fraction form
    782.98/1,175.25 = 372.43/x
  3. Step 3: Cross multiply
    782.98x = 1,175.25 × 372.43
  4. Step 4: Simplify right side
    782.98x = 437,698.36
  5. Step 5: Solve for x
    x = 437,698.36/782.98
  6. Step 6: Final answer
    x = 559.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.