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Finding the Fourth Proportional to 654.81, 986.65 and 541.79

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Solution

The fourth proportional to 654.81, 986.65 and 541.79 is: 816.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.81 : 986.65 = 541.79 : x
  2. Step 2: Convert to fraction form
    654.81/986.65 = 541.79/x
  3. Step 3: Cross multiply
    654.81x = 986.65 × 541.79
  4. Step 4: Simplify right side
    654.81x = 534,557.10
  5. Step 5: Solve for x
    x = 534,557.10/654.81
  6. Step 6: Final answer
    x = 816.35

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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.