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Finding the Fourth Proportional to 800.80, 1,195.80 and 654.83

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Solution

The fourth proportional to 800.80, 1,195.80 and 654.83 is: 977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.80 : 1,195.80 = 654.83 : x
  2. Step 2: Convert to fraction form
    800.80/1,195.80 = 654.83/x
  3. Step 3: Cross multiply
    800.80x = 1,195.80 × 654.83
  4. Step 4: Simplify right side
    800.80x = 783,048.49
  5. Step 5: Solve for x
    x = 783,048.49/800.80
  6. Step 6: Final answer
    x = 977.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.