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Finding the Fourth Proportional to 1,082.01, 1,493.64 and 639.93

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Solution

The fourth proportional to 1,082.01, 1,493.64 and 639.93 is: 883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.01 : 1,493.64 = 639.93 : x
  2. Step 2: Convert to fraction form
    1,082.01/1,493.64 = 639.93/x
  3. Step 3: Cross multiply
    1,082.01x = 1,493.64 × 639.93
  4. Step 4: Simplify right side
    1,082.01x = 955,818.04
  5. Step 5: Solve for x
    x = 955,818.04/1,082.01
  6. Step 6: Final answer
    x = 883.37

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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.