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Finding the Fourth Proportional to 500.71, 690.99 and 290.93

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Solution

The fourth proportional to 500.71, 690.99 and 290.93 is: 401.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.71 : 690.99 = 290.93 : x
  2. Step 2: Convert to fraction form
    500.71/690.99 = 290.93/x
  3. Step 3: Cross multiply
    500.71x = 690.99 × 290.93
  4. Step 4: Simplify right side
    500.71x = 201,029.72
  5. Step 5: Solve for x
    x = 201,029.72/500.71
  6. Step 6: Final answer
    x = 401.49

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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.