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Finding the Fourth Proportional to 782.64, 1,080.07 and 433.36

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Solution

The fourth proportional to 782.64, 1,080.07 and 433.36 is: 598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.64 : 1,080.07 = 433.36 : x
  2. Step 2: Convert to fraction form
    782.64/1,080.07 = 433.36/x
  3. Step 3: Cross multiply
    782.64x = 1,080.07 × 433.36
  4. Step 4: Simplify right side
    782.64x = 468,059.14
  5. Step 5: Solve for x
    x = 468,059.14/782.64
  6. Step 6: Final answer
    x = 598.05

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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.