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Finding the Fourth Proportional to 618.42, 926.82 and 553.02

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Solution

The fourth proportional to 618.42, 926.82 and 553.02 is: 828.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.42 : 926.82 = 553.02 : x
  2. Step 2: Convert to fraction form
    618.42/926.82 = 553.02/x
  3. Step 3: Cross multiply
    618.42x = 926.82 × 553.02
  4. Step 4: Simplify right side
    618.42x = 512,550.00
  5. Step 5: Solve for x
    x = 512,550.00/618.42
  6. Step 6: Final answer
    x = 828.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.