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Finding the Fourth Proportional to 803.93, 1,109.40 and 538.75

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Solution

The fourth proportional to 803.93, 1,109.40 and 538.75 is: 743.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.93 : 1,109.40 = 538.75 : x
  2. Step 2: Convert to fraction form
    803.93/1,109.40 = 538.75/x
  3. Step 3: Cross multiply
    803.93x = 1,109.40 × 538.75
  4. Step 4: Simplify right side
    803.93x = 597,688.62
  5. Step 5: Solve for x
    x = 597,688.62/803.93
  6. Step 6: Final answer
    x = 743.46

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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.