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Finding the Fourth Proportional to 538.65, 740.75 and 450.09

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Solution

The fourth proportional to 538.65, 740.75 and 450.09 is: 618.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.65 : 740.75 = 450.09 : x
  2. Step 2: Convert to fraction form
    538.65/740.75 = 450.09/x
  3. Step 3: Cross multiply
    538.65x = 740.75 × 450.09
  4. Step 4: Simplify right side
    538.65x = 333,401.92
  5. Step 5: Solve for x
    x = 333,401.92/538.65
  6. Step 6: Final answer
    x = 618.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.