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Finding the Fourth Proportional to 782.84, 1,080.27 and 433.50

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Solution

The fourth proportional to 782.84, 1,080.27 and 433.50 is: 598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.84 : 1,080.27 = 433.50 : x
  2. Step 2: Convert to fraction form
    782.84/1,080.27 = 433.50/x
  3. Step 3: Cross multiply
    782.84x = 1,080.27 × 433.50
  4. Step 4: Simplify right side
    782.84x = 468,297.05
  5. Step 5: Solve for x
    x = 468,297.05/782.84
  6. Step 6: Final answer
    x = 598.21

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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.