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Finding the Fourth Proportional to 784.49, 1,080.83 and 522.05

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Solution

The fourth proportional to 784.49, 1,080.83 and 522.05 is: 719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.49 : 1,080.83 = 522.05 : x
  2. Step 2: Convert to fraction form
    784.49/1,080.83 = 522.05/x
  3. Step 3: Cross multiply
    784.49x = 1,080.83 × 522.05
  4. Step 4: Simplify right side
    784.49x = 564,243.20
  5. Step 5: Solve for x
    x = 564,243.20/784.49
  6. Step 6: Final answer
    x = 719.25

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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.