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Finding the Fourth Proportional to 784.67, 1,082.23 and 504.93

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Solution

The fourth proportional to 784.67, 1,082.23 and 504.93 is: 696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.67 : 1,082.23 = 504.93 : x
  2. Step 2: Convert to fraction form
    784.67/1,082.23 = 504.93/x
  3. Step 3: Cross multiply
    784.67x = 1,082.23 × 504.93
  4. Step 4: Simplify right side
    784.67x = 546,453.19
  5. Step 5: Solve for x
    x = 546,453.19/784.67
  6. Step 6: Final answer
    x = 696.41

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Double scale
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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.