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Finding the Fourth Proportional to 741.05, 1,107.47 and 546.45

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Solution

The fourth proportional to 741.05, 1,107.47 and 546.45 is: 816.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.05 : 1,107.47 = 546.45 : x
  2. Step 2: Convert to fraction form
    741.05/1,107.47 = 546.45/x
  3. Step 3: Cross multiply
    741.05x = 1,107.47 × 546.45
  4. Step 4: Simplify right side
    741.05x = 605,174.19
  5. Step 5: Solve for x
    x = 605,174.19/741.05
  6. Step 6: Final answer
    x = 816.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.