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Finding the Fourth Proportional to 501.39, 691.81 and 304.97

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Solution

The fourth proportional to 501.39, 691.81 and 304.97 is: 420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.39 : 691.81 = 304.97 : x
  2. Step 2: Convert to fraction form
    501.39/691.81 = 304.97/x
  3. Step 3: Cross multiply
    501.39x = 691.81 × 304.97
  4. Step 4: Simplify right side
    501.39x = 210,977.07
  5. Step 5: Solve for x
    x = 210,977.07/501.39
  6. Step 6: Final answer
    x = 420.78

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1.5x scale

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.