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Finding the Fourth Proportional to 1,082.51, 1,621.73 and 534.05

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Solution

The fourth proportional to 1,082.51, 1,621.73 and 534.05 is: 800.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.51 : 1,621.73 = 534.05 : x
  2. Step 2: Convert to fraction form
    1,082.51/1,621.73 = 534.05/x
  3. Step 3: Cross multiply
    1,082.51x = 1,621.73 × 534.05
  4. Step 4: Simplify right side
    1,082.51x = 866,082.24
  5. Step 5: Solve for x
    x = 866,082.24/1,082.51
  6. Step 6: Final answer
    x = 800.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.