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Finding the Fourth Proportional to 741.86, 1,113.17 and 538.11

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Solution

The fourth proportional to 741.86, 1,113.17 and 538.11 is: 807.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.86 : 1,113.17 = 538.11 : x
  2. Step 2: Convert to fraction form
    741.86/1,113.17 = 538.11/x
  3. Step 3: Cross multiply
    741.86x = 1,113.17 × 538.11
  4. Step 4: Simplify right side
    741.86x = 599,008.38
  5. Step 5: Solve for x
    x = 599,008.38/741.86
  6. Step 6: Final answer
    x = 807.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.