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Finding the Fourth Proportional to 800.20, 1,095.41 and 775.36

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Solution

The fourth proportional to 800.20, 1,095.41 and 775.36 is: 1,061.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.20 : 1,095.41 = 775.36 : x
  2. Step 2: Convert to fraction form
    800.20/1,095.41 = 775.36/x
  3. Step 3: Cross multiply
    800.20x = 1,095.41 × 775.36
  4. Step 4: Simplify right side
    800.20x = 849,337.10
  5. Step 5: Solve for x
    x = 849,337.10/800.20
  6. Step 6: Final answer
    x = 1,061.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.