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Finding the Fourth Proportional to 1,840.54, 2,760.82 and 542.00

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Solution

The fourth proportional to 1,840.54, 2,760.82 and 542.00 is: 813.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.54 : 2,760.82 = 542.00 : x
  2. Step 2: Convert to fraction form
    1,840.54/2,760.82 = 542.00/x
  3. Step 3: Cross multiply
    1,840.54x = 2,760.82 × 542.00
  4. Step 4: Simplify right side
    1,840.54x = 1,496,376.16
  5. Step 5: Solve for x
    x = 1,496,376.16/1,840.54
  6. Step 6: Final answer
    x = 813.01

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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.