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Finding the Fourth Proportional to 528.50, 728.02 and 494.48

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Solution

The fourth proportional to 528.50, 728.02 and 494.48 is: 681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.50 : 728.02 = 494.48 : x
  2. Step 2: Convert to fraction form
    528.50/728.02 = 494.48/x
  3. Step 3: Cross multiply
    528.50x = 728.02 × 494.48
  4. Step 4: Simplify right side
    528.50x = 359,991.33
  5. Step 5: Solve for x
    x = 359,991.33/528.50
  6. Step 6: Final answer
    x = 681.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.