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Finding the Fourth Proportional to 541.76, 752.02 and 528.80

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Solution

The fourth proportional to 541.76, 752.02 and 528.80 is: 734.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.76 : 752.02 = 528.80 : x
  2. Step 2: Convert to fraction form
    541.76/752.02 = 528.80/x
  3. Step 3: Cross multiply
    541.76x = 752.02 × 528.80
  4. Step 4: Simplify right side
    541.76x = 397,663.09
  5. Step 5: Solve for x
    x = 397,663.09/541.76
  6. Step 6: Final answer
    x = 734.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.