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Finding the Fourth Proportional to 536.97, 740.36 and 389.55

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Solution

The fourth proportional to 536.97, 740.36 and 389.55 is: 537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.97 : 740.36 = 389.55 : x
  2. Step 2: Convert to fraction form
    536.97/740.36 = 389.55/x
  3. Step 3: Cross multiply
    536.97x = 740.36 × 389.55
  4. Step 4: Simplify right side
    536.97x = 288,408.21
  5. Step 5: Solve for x
    x = 288,408.21/536.97
  6. Step 6: Final answer
    x = 537.10

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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.