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Finding the Fourth Proportional to 801.36, 1,106.28 and 580.56

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Solution

The fourth proportional to 801.36, 1,106.28 and 580.56 is: 801.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.36 : 1,106.28 = 580.56 : x
  2. Step 2: Convert to fraction form
    801.36/1,106.28 = 580.56/x
  3. Step 3: Cross multiply
    801.36x = 1,106.28 × 580.56
  4. Step 4: Simplify right side
    801.36x = 642,261.92
  5. Step 5: Solve for x
    x = 642,261.92/801.36
  6. Step 6: Final answer
    x = 801.46

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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.