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Finding the Fourth Proportional to 501.23, 691.75 and 304.80

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Solution

The fourth proportional to 501.23, 691.75 and 304.80 is: 420.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.23 : 691.75 = 304.80 : x
  2. Step 2: Convert to fraction form
    501.23/691.75 = 304.80/x
  3. Step 3: Cross multiply
    501.23x = 691.75 × 304.80
  4. Step 4: Simplify right side
    501.23x = 210,845.40
  5. Step 5: Solve for x
    x = 210,845.40/501.23
  6. Step 6: Final answer
    x = 420.66

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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.