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Finding the Fourth Proportional to 784.52, 1,082.82 and 504.68

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Solution

The fourth proportional to 784.52, 1,082.82 and 504.68 is: 696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.52 : 1,082.82 = 504.68 : x
  2. Step 2: Convert to fraction form
    784.52/1,082.82 = 504.68/x
  3. Step 3: Cross multiply
    784.52x = 1,082.82 × 504.68
  4. Step 4: Simplify right side
    784.52x = 546,477.60
  5. Step 5: Solve for x
    x = 546,477.60/784.52
  6. Step 6: Final answer
    x = 696.58

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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.