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Finding the Fourth Proportional to 654.52, 986.22 and 541.48

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Solution

The fourth proportional to 654.52, 986.22 and 541.48 is: 815.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.52 : 986.22 = 541.48 : x
  2. Step 2: Convert to fraction form
    654.52/986.22 = 541.48/x
  3. Step 3: Cross multiply
    654.52x = 986.22 × 541.48
  4. Step 4: Simplify right side
    654.52x = 534,018.41
  5. Step 5: Solve for x
    x = 534,018.41/654.52
  6. Step 6: Final answer
    x = 815.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.