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Finding the Fourth Proportional to 800.58, 1,104.50 and 538.78

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Solution

The fourth proportional to 800.58, 1,104.50 and 538.78 is: 743.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.58 : 1,104.50 = 538.78 : x
  2. Step 2: Convert to fraction form
    800.58/1,104.50 = 538.78/x
  3. Step 3: Cross multiply
    800.58x = 1,104.50 × 538.78
  4. Step 4: Simplify right side
    800.58x = 595,082.51
  5. Step 5: Solve for x
    x = 595,082.51/800.58
  6. Step 6: Final answer
    x = 743.31

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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.