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Finding the Fourth Proportional to 661.49, 992.03 and 457.37

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Solution

The fourth proportional to 661.49, 992.03 and 457.37 is: 685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.49 : 992.03 = 457.37 : x
  2. Step 2: Convert to fraction form
    661.49/992.03 = 457.37/x
  3. Step 3: Cross multiply
    661.49x = 992.03 × 457.37
  4. Step 4: Simplify right side
    661.49x = 453,719.99
  5. Step 5: Solve for x
    x = 453,719.99/661.49
  6. Step 6: Final answer
    x = 685.91

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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.