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Finding the Fourth Proportional to 601.80, 827.27 and 542.40

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Solution

The fourth proportional to 601.80, 827.27 and 542.40 is: 745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.80 : 827.27 = 542.40 : x
  2. Step 2: Convert to fraction form
    601.80/827.27 = 542.40/x
  3. Step 3: Cross multiply
    601.80x = 827.27 × 542.40
  4. Step 4: Simplify right side
    601.80x = 448,711.25
  5. Step 5: Solve for x
    x = 448,711.25/601.80
  6. Step 6: Final answer
    x = 745.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.