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Finding the Fourth Proportional to 782.50, 1,080.58 and 576.58

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Solution

The fourth proportional to 782.50, 1,080.58 and 576.58 is: 796.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.50 : 1,080.58 = 576.58 : x
  2. Step 2: Convert to fraction form
    782.50/1,080.58 = 576.58/x
  3. Step 3: Cross multiply
    782.50x = 1,080.58 × 576.58
  4. Step 4: Simplify right side
    782.50x = 623,040.82
  5. Step 5: Solve for x
    x = 623,040.82/782.50
  6. Step 6: Final answer
    x = 796.22

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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.