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Finding the Fourth Proportional to 782.87, 1,080.40 and 433.63

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Solution

The fourth proportional to 782.87, 1,080.40 and 433.63 is: 598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.87 : 1,080.40 = 433.63 : x
  2. Step 2: Convert to fraction form
    782.87/1,080.40 = 433.63/x
  3. Step 3: Cross multiply
    782.87x = 1,080.40 × 433.63
  4. Step 4: Simplify right side
    782.87x = 468,490.07
  5. Step 5: Solve for x
    x = 468,490.07/782.87
  6. Step 6: Final answer
    x = 598.42

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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.