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Finding the Fourth Proportional to 501.05, 691.79 and 448.43

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Solution

The fourth proportional to 501.05, 691.79 and 448.43 is: 619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.05 : 691.79 = 448.43 : x
  2. Step 2: Convert to fraction form
    501.05/691.79 = 448.43/x
  3. Step 3: Cross multiply
    501.05x = 691.79 × 448.43
  4. Step 4: Simplify right side
    501.05x = 310,219.39
  5. Step 5: Solve for x
    x = 310,219.39/501.05
  6. Step 6: Final answer
    x = 619.14

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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.