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Finding the Fourth Proportional to 500.76, 691.20 and 290.99

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Solution

The fourth proportional to 500.76, 691.20 and 290.99 is: 401.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.76 : 691.20 = 290.99 : x
  2. Step 2: Convert to fraction form
    500.76/691.20 = 290.99/x
  3. Step 3: Cross multiply
    500.76x = 691.20 × 290.99
  4. Step 4: Simplify right side
    500.76x = 201,127.38
  5. Step 5: Solve for x
    x = 201,127.38/500.76
  6. Step 6: Final answer
    x = 401.65

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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.