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Finding the Fourth Proportional to 782.75, 1,080.16 and 433.43

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Solution

The fourth proportional to 782.75, 1,080.16 and 433.43 is: 598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.75 : 1,080.16 = 433.43 : x
  2. Step 2: Convert to fraction form
    782.75/1,080.16 = 433.43/x
  3. Step 3: Cross multiply
    782.75x = 1,080.16 × 433.43
  4. Step 4: Simplify right side
    782.75x = 468,173.75
  5. Step 5: Solve for x
    x = 468,173.75/782.75
  6. Step 6: Final answer
    x = 598.11

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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.