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Finding the Fourth Proportional to 509.28, 758.69 and 490.68

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Solution

The fourth proportional to 509.28, 758.69 and 490.68 is: 730.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.28 : 758.69 = 490.68 : x
  2. Step 2: Convert to fraction form
    509.28/758.69 = 490.68/x
  3. Step 3: Cross multiply
    509.28x = 758.69 × 490.68
  4. Step 4: Simplify right side
    509.28x = 372,274.01
  5. Step 5: Solve for x
    x = 372,274.01/509.28
  6. Step 6: Final answer
    x = 730.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.