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Finding the Fourth Proportional to 618.40, 932.44 and 541.60

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Solution

The fourth proportional to 618.40, 932.44 and 541.60 is: 816.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.40 : 932.44 = 541.60 : x
  2. Step 2: Convert to fraction form
    618.40/932.44 = 541.60/x
  3. Step 3: Cross multiply
    618.40x = 932.44 × 541.60
  4. Step 4: Simplify right side
    618.40x = 505,009.50
  5. Step 5: Solve for x
    x = 505,009.50/618.40
  6. Step 6: Final answer
    x = 816.64

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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.