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Finding the Fourth Proportional to 509.00, 762.24 and 459.69

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Solution

The fourth proportional to 509.00, 762.24 and 459.69 is: 688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.00 : 762.24 = 459.69 : x
  2. Step 2: Convert to fraction form
    509.00/762.24 = 459.69/x
  3. Step 3: Cross multiply
    509.00x = 762.24 × 459.69
  4. Step 4: Simplify right side
    509.00x = 350,395.83
  5. Step 5: Solve for x
    x = 350,395.83/509.00
  6. Step 6: Final answer
    x = 688.41

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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.