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Finding the Fourth Proportional to 536.68, 745.87 and 530.92

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Solution

The fourth proportional to 536.68, 745.87 and 530.92 is: 737.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.68 : 745.87 = 530.92 : x
  2. Step 2: Convert to fraction form
    536.68/745.87 = 530.92/x
  3. Step 3: Cross multiply
    536.68x = 745.87 × 530.92
  4. Step 4: Simplify right side
    536.68x = 395,997.30
  5. Step 5: Solve for x
    x = 395,997.30/536.68
  6. Step 6: Final answer
    x = 737.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.