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Finding the Fourth Proportional to 506.68, 699.07 and 304.74

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Solution

The fourth proportional to 506.68, 699.07 and 304.74 is: 420.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.68 : 699.07 = 304.74 : x
  2. Step 2: Convert to fraction form
    506.68/699.07 = 304.74/x
  3. Step 3: Cross multiply
    506.68x = 699.07 × 304.74
  4. Step 4: Simplify right side
    506.68x = 213,035.41
  5. Step 5: Solve for x
    x = 213,035.41/506.68
  6. Step 6: Final answer
    x = 420.45

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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.