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Finding the Fourth Proportional to 1,082.61, 1,622.59 and 465.01

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Solution

The fourth proportional to 1,082.61, 1,622.59 and 465.01 is: 696.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.61 : 1,622.59 = 465.01 : x
  2. Step 2: Convert to fraction form
    1,082.61/1,622.59 = 465.01/x
  3. Step 3: Cross multiply
    1,082.61x = 1,622.59 × 465.01
  4. Step 4: Simplify right side
    1,082.61x = 754,515.36
  5. Step 5: Solve for x
    x = 754,515.36/1,082.61
  6. Step 6: Final answer
    x = 696.94

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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.