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Finding the Fourth Proportional to 798.26, 1,100.11 and 562.24

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Solution

The fourth proportional to 798.26, 1,100.11 and 562.24 is: 774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.26 : 1,100.11 = 562.24 : x
  2. Step 2: Convert to fraction form
    798.26/1,100.11 = 562.24/x
  3. Step 3: Cross multiply
    798.26x = 1,100.11 × 562.24
  4. Step 4: Simplify right side
    798.26x = 618,525.29
  5. Step 5: Solve for x
    x = 618,525.29/798.26
  6. Step 6: Final answer
    x = 774.85

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1.5x scale

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.