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Finding the Fourth Proportional to 664.47, 913.05 and 539.82

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Solution

The fourth proportional to 664.47, 913.05 and 539.82 is: 741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.47 : 913.05 = 539.82 : x
  2. Step 2: Convert to fraction form
    664.47/913.05 = 539.82/x
  3. Step 3: Cross multiply
    664.47x = 913.05 × 539.82
  4. Step 4: Simplify right side
    664.47x = 492,882.65
  5. Step 5: Solve for x
    x = 492,882.65/664.47
  6. Step 6: Final answer
    x = 741.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.