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Finding the Fourth Proportional to 800.06, 1,103.77 and 643.10

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Solution

The fourth proportional to 800.06, 1,103.77 and 643.10 is: 887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.06 : 1,103.77 = 643.10 : x
  2. Step 2: Convert to fraction form
    800.06/1,103.77 = 643.10/x
  3. Step 3: Cross multiply
    800.06x = 1,103.77 × 643.10
  4. Step 4: Simplify right side
    800.06x = 709,834.49
  5. Step 5: Solve for x
    x = 709,834.49/800.06
  6. Step 6: Final answer
    x = 887.23

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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.