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Finding the Fourth Proportional to 537.12, 740.34 and 389.48

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Solution

The fourth proportional to 537.12, 740.34 and 389.48 is: 536.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.12 : 740.34 = 389.48 : x
  2. Step 2: Convert to fraction form
    537.12/740.34 = 389.48/x
  3. Step 3: Cross multiply
    537.12x = 740.34 × 389.48
  4. Step 4: Simplify right side
    537.12x = 288,343.92
  5. Step 5: Solve for x
    x = 288,343.92/537.12
  6. Step 6: Final answer
    x = 536.83

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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.