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Finding the Fourth Proportional to 501.93, 688.70 and 482.49

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Solution

The fourth proportional to 501.93, 688.70 and 482.49 is: 662.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.93 : 688.70 = 482.49 : x
  2. Step 2: Convert to fraction form
    501.93/688.70 = 482.49/x
  3. Step 3: Cross multiply
    501.93x = 688.70 × 482.49
  4. Step 4: Simplify right side
    501.93x = 332,292.07
  5. Step 5: Solve for x
    x = 332,292.07/501.93
  6. Step 6: Final answer
    x = 662.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.