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Finding the Fourth Proportional to 552.54, 829.08 and 542.01

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Solution

The fourth proportional to 552.54, 829.08 and 542.01 is: 813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.54 : 829.08 = 542.01 : x
  2. Step 2: Convert to fraction form
    552.54/829.08 = 542.01/x
  3. Step 3: Cross multiply
    552.54x = 829.08 × 542.01
  4. Step 4: Simplify right side
    552.54x = 449,369.65
  5. Step 5: Solve for x
    x = 449,369.65/552.54
  6. Step 6: Final answer
    x = 813.28

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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.