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Finding the Fourth Proportional to 783.56, 1,082.10 and 666.44

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Solution

The fourth proportional to 783.56, 1,082.10 and 666.44 is: 920.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.56 : 1,082.10 = 666.44 : x
  2. Step 2: Convert to fraction form
    783.56/1,082.10 = 666.44/x
  3. Step 3: Cross multiply
    783.56x = 1,082.10 × 666.44
  4. Step 4: Simplify right side
    783.56x = 721,154.72
  5. Step 5: Solve for x
    x = 721,154.72/783.56
  6. Step 6: Final answer
    x = 920.36

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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.