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Finding the Fourth Proportional to 784.10, 1,082.49 and 522.50

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Solution

The fourth proportional to 784.10, 1,082.49 and 522.50 is: 721.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.10 : 1,082.49 = 522.50 : x
  2. Step 2: Convert to fraction form
    784.10/1,082.49 = 522.50/x
  3. Step 3: Cross multiply
    784.10x = 1,082.49 × 522.50
  4. Step 4: Simplify right side
    784.10x = 565,601.03
  5. Step 5: Solve for x
    x = 565,601.03/784.10
  6. Step 6: Final answer
    x = 721.34

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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.