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Finding the Fourth Proportional to 1,490.49, 2,235.69 and 517.23

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Solution

The fourth proportional to 1,490.49, 2,235.69 and 517.23 is: 775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.49 : 2,235.69 = 517.23 : x
  2. Step 2: Convert to fraction form
    1,490.49/2,235.69 = 517.23/x
  3. Step 3: Cross multiply
    1,490.49x = 2,235.69 × 517.23
  4. Step 4: Simplify right side
    1,490.49x = 1,156,365.94
  5. Step 5: Solve for x
    x = 1,156,365.94/1,490.49
  6. Step 6: Final answer
    x = 775.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.