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Finding the Fourth Proportional to 500.80, 691.18 and 304.37

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Solution

The fourth proportional to 500.80, 691.18 and 304.37 is: 420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.80 : 691.18 = 304.37 : x
  2. Step 2: Convert to fraction form
    500.80/691.18 = 304.37/x
  3. Step 3: Cross multiply
    500.80x = 691.18 × 304.37
  4. Step 4: Simplify right side
    500.80x = 210,374.46
  5. Step 5: Solve for x
    x = 210,374.46/500.80
  6. Step 6: Final answer
    x = 420.08

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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.