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Finding the Fourth Proportional to 576.51, 860.21 and 541.50

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Solution

The fourth proportional to 576.51, 860.21 and 541.50 is: 807.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.51 : 860.21 = 541.50 : x
  2. Step 2: Convert to fraction form
    576.51/860.21 = 541.50/x
  3. Step 3: Cross multiply
    576.51x = 860.21 × 541.50
  4. Step 4: Simplify right side
    576.51x = 465,801.01
  5. Step 5: Solve for x
    x = 465,801.01/576.51
  6. Step 6: Final answer
    x = 807.97

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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.