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Finding the Fourth Proportional to 541.66, 752.56 and 535.18

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Solution

The fourth proportional to 541.66, 752.56 and 535.18 is: 743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.66 : 752.56 = 535.18 : x
  2. Step 2: Convert to fraction form
    541.66/752.56 = 535.18/x
  3. Step 3: Cross multiply
    541.66x = 752.56 × 535.18
  4. Step 4: Simplify right side
    541.66x = 402,755.06
  5. Step 5: Solve for x
    x = 402,755.06/541.66
  6. Step 6: Final answer
    x = 743.56

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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.