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Finding the Fourth Proportional to 528.96, 727.92 and 525.81

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Solution

The fourth proportional to 528.96, 727.92 and 525.81 is: 723.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.96 : 727.92 = 525.81 : x
  2. Step 2: Convert to fraction form
    528.96/727.92 = 525.81/x
  3. Step 3: Cross multiply
    528.96x = 727.92 × 525.81
  4. Step 4: Simplify right side
    528.96x = 382,747.62
  5. Step 5: Solve for x
    x = 382,747.62/528.96
  6. Step 6: Final answer
    x = 723.59

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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.