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Finding the Fourth Proportional to 537.58, 740.82 and 389.98

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Solution

The fourth proportional to 537.58, 740.82 and 389.98 is: 537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.58 : 740.82 = 389.98 : x
  2. Step 2: Convert to fraction form
    537.58/740.82 = 389.98/x
  3. Step 3: Cross multiply
    537.58x = 740.82 × 389.98
  4. Step 4: Simplify right side
    537.58x = 288,904.98
  5. Step 5: Solve for x
    x = 288,904.98/537.58
  6. Step 6: Final answer
    x = 537.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.