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Finding the Fourth Proportional to 501.39, 750.62 and 459.27

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Solution

The fourth proportional to 501.39, 750.62 and 459.27 is: 687.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.39 : 750.62 = 459.27 : x
  2. Step 2: Convert to fraction form
    501.39/750.62 = 459.27/x
  3. Step 3: Cross multiply
    501.39x = 750.62 × 459.27
  4. Step 4: Simplify right side
    501.39x = 344,735.81
  5. Step 5: Solve for x
    x = 344,735.81/501.39
  6. Step 6: Final answer
    x = 687.56

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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.