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Finding the Fourth Proportional to 784.34, 1,082.08 and 504.54

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Solution

The fourth proportional to 784.34, 1,082.08 and 504.54 is: 696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.34 : 1,082.08 = 504.54 : x
  2. Step 2: Convert to fraction form
    784.34/1,082.08 = 504.54/x
  3. Step 3: Cross multiply
    784.34x = 1,082.08 × 504.54
  4. Step 4: Simplify right side
    784.34x = 545,952.64
  5. Step 5: Solve for x
    x = 545,952.64/784.34
  6. Step 6: Final answer
    x = 696.07

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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.