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Finding the Fourth Proportional to 528.89, 728.79 and 501.09

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Solution

The fourth proportional to 528.89, 728.79 and 501.09 is: 690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.89 : 728.79 = 501.09 : x
  2. Step 2: Convert to fraction form
    528.89/728.79 = 501.09/x
  3. Step 3: Cross multiply
    528.89x = 728.79 × 501.09
  4. Step 4: Simplify right side
    528.89x = 365,189.38
  5. Step 5: Solve for x
    x = 365,189.38/528.89
  6. Step 6: Final answer
    x = 690.49

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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.