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Finding the Fourth Proportional to 541.44, 806.96 and 530.64

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Solution

The fourth proportional to 541.44, 806.96 and 530.64 is: 790.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.44 : 806.96 = 530.64 : x
  2. Step 2: Convert to fraction form
    541.44/806.96 = 530.64/x
  3. Step 3: Cross multiply
    541.44x = 806.96 × 530.64
  4. Step 4: Simplify right side
    541.44x = 428,202.60
  5. Step 5: Solve for x
    x = 428,202.60/541.44
  6. Step 6: Final answer
    x = 790.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.