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Finding the Fourth Proportional to 611.92, 913.16 and 547.12

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Solution

The fourth proportional to 611.92, 913.16 and 547.12 is: 816.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.92 : 913.16 = 547.12 : x
  2. Step 2: Convert to fraction form
    611.92/913.16 = 547.12/x
  3. Step 3: Cross multiply
    611.92x = 913.16 × 547.12
  4. Step 4: Simplify right side
    611.92x = 499,608.10
  5. Step 5: Solve for x
    x = 499,608.10/611.92
  6. Step 6: Final answer
    x = 816.46

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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.